What is the Least Common Multiple of 39624 and 39632?

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 39632 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 39632, than apply into the LCM equation.

GCF(39624,39632) = 8
LCM(39624,39632) = ( 39624 × 39632) / 8
LCM(39624,39632) = 1570378368 / 8
LCM(39624,39632) = 196297296

Least Common Multiple (LCM) of 39624 and 39632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39624 and 39632. First we will calculate the prime factors of 39624 and 39632.

Prime Factorization of 39624

Prime Factorization of 39632

Now multiplying the highest exponent prime factors to calculate the LCM of 39624 and 39632.

LCM(39624,39632) = 2⁴ × 3¹ × 13¹ × 127¹ × 2477¹
LCM(39624,39632) = 196297296