What is the Least Common Multiple of 51609 and 51624?

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 51609 and 51624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51609 and 51624, than apply into the LCM equation.

GCF(51609,51624) = 3
LCM(51609,51624) = ( 51609 × 51624) / 3
LCM(51609,51624) = 2664263016 / 3
LCM(51609,51624) = 888087672

Least Common Multiple (LCM) of 51609 and 51624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51609 and 51624. First we will calculate the prime factors of 51609 and 51624.

Prime Factorization of 51609

Prime Factorization of 51624

Now multiplying the highest exponent prime factors to calculate the LCM of 51609 and 51624.

LCM(51609,51624) = 3³ × 17203¹ × 2³ × 239¹
LCM(51609,51624) = 888087672