What is the Least Common Multiple of 96624 and 96638?

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 96624 and 96638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96624 and 96638, than apply into the LCM equation.

GCF(96624,96638) = 2
LCM(96624,96638) = ( 96624 × 96638) / 2
LCM(96624,96638) = 9337550112 / 2
LCM(96624,96638) = 4668775056

Least Common Multiple (LCM) of 96624 and 96638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96624 and 96638. First we will calculate the prime factors of 96624 and 96638.

Prime Factorization of 96624

Prime Factorization of 96638

Now multiplying the highest exponent prime factors to calculate the LCM of 96624 and 96638.

LCM(96624,96638) = 2⁴ × 3² × 11¹ × 61¹ × 211¹ × 229¹
LCM(96624,96638) = 4668775056