What is the Least Common Multiple of 32624 and 32638?

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 32624 and 32638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32624 and 32638, than apply into the LCM equation.

GCF(32624,32638) = 2
LCM(32624,32638) = ( 32624 × 32638) / 2
LCM(32624,32638) = 1064782112 / 2
LCM(32624,32638) = 532391056

Least Common Multiple (LCM) of 32624 and 32638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32624 and 32638. First we will calculate the prime factors of 32624 and 32638.

Prime Factorization of 32624

Prime Factorization of 32638

Now multiplying the highest exponent prime factors to calculate the LCM of 32624 and 32638.

LCM(32624,32638) = 2⁴ × 2039¹ × 16319¹
LCM(32624,32638) = 532391056