What is the Least Common Multiple of 99639 and 99651?

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 99639 and 99651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99639 and 99651, than apply into the LCM equation.

GCF(99639,99651) = 3
LCM(99639,99651) = ( 99639 × 99651) / 3
LCM(99639,99651) = 9929125989 / 3
LCM(99639,99651) = 3309708663

Least Common Multiple (LCM) of 99639 and 99651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99639 and 99651. First we will calculate the prime factors of 99639 and 99651.

Prime Factorization of 99639

Prime Factorization of 99651

Now multiplying the highest exponent prime factors to calculate the LCM of 99639 and 99651.

LCM(99639,99651) = 3² × 11071¹ × 59¹ × 563¹
LCM(99639,99651) = 3309708663