What is the Least Common Multiple of 63674 and 63687?

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 63674 and 63687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63674 and 63687, than apply into the LCM equation.

GCF(63674,63687) = 13
LCM(63674,63687) = ( 63674 × 63687) / 13
LCM(63674,63687) = 4055206038 / 13
LCM(63674,63687) = 311938926

Least Common Multiple (LCM) of 63674 and 63687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63674 and 63687. First we will calculate the prime factors of 63674 and 63687.

Prime Factorization of 63674

Prime Factorization of 63687

Now multiplying the highest exponent prime factors to calculate the LCM of 63674 and 63687.

LCM(63674,63687) = 2¹ × 13¹ × 31¹ × 79¹ × 3¹ × 23¹ × 71¹
LCM(63674,63687) = 311938926