What is the Least Common Multiple of 39399 and 39414?

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 39399 and 39414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39399 and 39414, than apply into the LCM equation.

GCF(39399,39414) = 3
LCM(39399,39414) = ( 39399 × 39414) / 3
LCM(39399,39414) = 1552872186 / 3
LCM(39399,39414) = 517624062

Least Common Multiple (LCM) of 39399 and 39414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39399 and 39414. First we will calculate the prime factors of 39399 and 39414.

Prime Factorization of 39399

Prime Factorization of 39414

Now multiplying the highest exponent prime factors to calculate the LCM of 39399 and 39414.

LCM(39399,39414) = 3¹ × 23¹ × 571¹ × 2¹ × 6569¹
LCM(39399,39414) = 517624062