What is the Least Common Multiple of 39678 and 39687?

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 39678 and 39687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39678 and 39687, than apply into the LCM equation.

GCF(39678,39687) = 3
LCM(39678,39687) = ( 39678 × 39687) / 3
LCM(39678,39687) = 1574700786 / 3
LCM(39678,39687) = 524900262

Least Common Multiple (LCM) of 39678 and 39687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39678 and 39687. First we will calculate the prime factors of 39678 and 39687.

Prime Factorization of 39678

Prime Factorization of 39687

Now multiplying the highest exponent prime factors to calculate the LCM of 39678 and 39687.

LCM(39678,39687) = 2¹ × 3¹ × 17¹ × 389¹ × 13229¹
LCM(39678,39687) = 524900262