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What is the Least Common Multiple of 10629 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 10629 and 10641 is 37701063.

LCM(10629,10641) = 37701063

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Least Common Multiple of 10629 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 10629 and 10641, than apply into the LCM equation.

GCF(10629,10641) = 3
LCM(10629,10641) = ( 10629 × 10641) / 3
LCM(10629,10641) = 113103189 / 3
LCM(10629,10641) = 37701063

Least Common Multiple (LCM) of 10629 and 10641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10629 and 10641. First we will calculate the prime factors of 10629 and 10641.

Prime Factorization of 10629

Prime factors of 10629 are 3, 1181. Prime factorization of 10629 in exponential form is:

10629 = 32 × 11811

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 10629 and 10641.

LCM(10629,10641) = 32 × 11811 × 35471
LCM(10629,10641) = 37701063