What is the Least Common Multiple of 99612 and 99624?

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 99612 and 99624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99612 and 99624, than apply into the LCM equation.

GCF(99612,99624) = 12
LCM(99612,99624) = ( 99612 × 99624) / 12
LCM(99612,99624) = 9923745888 / 12
LCM(99612,99624) = 826978824

Least Common Multiple (LCM) of 99612 and 99624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99612 and 99624. First we will calculate the prime factors of 99612 and 99624.

Prime Factorization of 99612

Prime Factorization of 99624

Now multiplying the highest exponent prime factors to calculate the LCM of 99612 and 99624.

LCM(99612,99624) = 2³ × 3² × 2767¹ × 7¹ × 593¹
LCM(99612,99624) = 826978824