LCM Least Common Multiple or Factor - HCF L.C.M Calculation

LCF - Least Common Multiple

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Least Common Multiple(LCM)

LCM:
LCM of two or more numbers is the least number that is exactly divisible by each one of the given numbers.

Least Commmon Factor(LCF) can be calculated by any of the following method,

Factorization Method:
Express each one of the numbers as product of prime factors.
The product of highest powers of all prime factors gives LCF.

Example:
Least Common Multiple or Factor of 36, 90, 72.

Step1: Express the numbers as product of prime factors.
36 = 2² × 3²
90 = 2 × 5 × 3²
72 = 2³ × 3²

Step2: Take the prime numbers with highest power for all prime numbers.
2, 3,5 are the prime number identified.

The highest power of 2 in the set is - 2³
The highest power of 3 in the set is - 3²
The highest power of 5 in the set is - 5

Step3: Product of the numbers taken.
3² × 5 × 2³ = 9 × 5 × 8 = 360

So 360 is the LCM (Least Common Multiple) of the numbers.

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