LCM - L.C.M Least Common Multiple Calculation

LCF - Least Common Multiple

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Least Common Multiple

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

L.C.M 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 L C M.

Example:
Least Common Multiple 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 L.C.M (Least Common Multiple) of the numbers.

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