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What is the Least Common Multiple of 14637 and 14650?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 14637 and 14650 is 214432050.

LCM(14637,14650) = 214432050

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Least Common Multiple of 14637 and 14650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14637 and 14650, than apply into the LCM equation.

GCF(14637,14650) = 1
LCM(14637,14650) = ( 14637 × 14650) / 1
LCM(14637,14650) = 214432050 / 1
LCM(14637,14650) = 214432050

Least Common Multiple (LCM) of 14637 and 14650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14637 and 14650. First we will calculate the prime factors of 14637 and 14650.

Prime Factorization of 14637

Prime factors of 14637 are 3, 7, 17, 41. Prime factorization of 14637 in exponential form is:

14637 = 31 × 71 × 171 × 411

Prime Factorization of 14650

Prime factors of 14650 are 2, 5, 293. Prime factorization of 14650 in exponential form is:

14650 = 21 × 52 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 14637 and 14650.

LCM(14637,14650) = 31 × 71 × 171 × 411 × 21 × 52 × 2931
LCM(14637,14650) = 214432050