What is the Least Common Multiple of 36674 and 36678?

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 of 36674 and 36678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36674 and 36678, than apply into the LCM equation.

GCF(36674,36678) = 2
LCM(36674,36678) = ( 36674 × 36678) / 2
LCM(36674,36678) = 1345128972 / 2
LCM(36674,36678) = 672564486

Least Common Multiple (LCM) of 36674 and 36678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36674 and 36678. First we will calculate the prime factors of 36674 and 36678.

Prime Factorization of 36674

Prime Factorization of 36678

Now multiplying the highest exponent prime factors to calculate the LCM of 36674 and 36678.

LCM(36674,36678) = 2¹ × 11¹ × 1667¹ × 3¹ × 6113¹
LCM(36674,36678) = 672564486