What is the Least Common Multiple of 39624 and 39638?

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 39624 and 39638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39624 and 39638, than apply into the LCM equation.

GCF(39624,39638) = 2
LCM(39624,39638) = ( 39624 × 39638) / 2
LCM(39624,39638) = 1570616112 / 2
LCM(39624,39638) = 785308056

Least Common Multiple (LCM) of 39624 and 39638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39624 and 39638. First we will calculate the prime factors of 39624 and 39638.

Prime Factorization of 39624

Prime Factorization of 39638

Now multiplying the highest exponent prime factors to calculate the LCM of 39624 and 39638.

LCM(39624,39638) = 2³ × 3¹ × 13¹ × 127¹ × 19819¹
LCM(39624,39638) = 785308056