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What is the Least Common Multiple of 4625 and 4641?

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 4625 and 4641 is 21464625.

LCM(4625,4641) = 21464625

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Least Common Multiple of 4625 and 4641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4625 and 4641, than apply into the LCM equation.

GCF(4625,4641) = 1
LCM(4625,4641) = ( 4625 × 4641) / 1
LCM(4625,4641) = 21464625 / 1
LCM(4625,4641) = 21464625

Least Common Multiple (LCM) of 4625 and 4641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4625 and 4641. First we will calculate the prime factors of 4625 and 4641.

Prime Factorization of 4625

Prime factors of 4625 are 5, 37. Prime factorization of 4625 in exponential form is:

4625 = 53 × 371

Prime Factorization of 4641

Prime factors of 4641 are 3, 7, 13, 17. Prime factorization of 4641 in exponential form is:

4641 = 31 × 71 × 131 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 4625 and 4641.

LCM(4625,4641) = 53 × 371 × 31 × 71 × 131 × 171
LCM(4625,4641) = 21464625