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What is the Least Common Multiple of 40627 and 40636?

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 40627 and 40636 is 1650918772.

LCM(40627,40636) = 1650918772

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Least Common Multiple of 40627 and 40636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40627 and 40636, than apply into the LCM equation.

GCF(40627,40636) = 1
LCM(40627,40636) = ( 40627 × 40636) / 1
LCM(40627,40636) = 1650918772 / 1
LCM(40627,40636) = 1650918772

Least Common Multiple (LCM) of 40627 and 40636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40627 and 40636. First we will calculate the prime factors of 40627 and 40636.

Prime Factorization of 40627

Prime factors of 40627 are 40627. Prime factorization of 40627 in exponential form is:

40627 = 406271

Prime Factorization of 40636

Prime factors of 40636 are 2, 10159. Prime factorization of 40636 in exponential form is:

40636 = 22 × 101591

Now multiplying the highest exponent prime factors to calculate the LCM of 40627 and 40636.

LCM(40627,40636) = 406271 × 22 × 101591
LCM(40627,40636) = 1650918772