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What is the Least Common Multiple of 10637 and 10641?

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 10637 and 10641 is 113188317.

LCM(10637,10641) = 113188317

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Least Common Multiple of 10637 and 10641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10637 and 10641, than apply into the LCM equation.

GCF(10637,10641) = 1
LCM(10637,10641) = ( 10637 × 10641) / 1
LCM(10637,10641) = 113188317 / 1
LCM(10637,10641) = 113188317

Least Common Multiple (LCM) of 10637 and 10641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10637 and 10641. First we will calculate the prime factors of 10637 and 10641.

Prime Factorization of 10637

Prime factors of 10637 are 11, 967. Prime factorization of 10637 in exponential form is:

10637 = 111 × 9671

Prime Factorization of 10641

Prime factors of 10641 are 3, 3547. Prime factorization of 10641 in exponential form is:

10641 = 31 × 35471

Now multiplying the highest exponent prime factors to calculate the LCM of 10637 and 10641.

LCM(10637,10641) = 111 × 9671 × 31 × 35471
LCM(10637,10641) = 113188317