What is the Least Common Multiple of 51492 and 51507?

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 51492 and 51507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51492 and 51507, than apply into the LCM equation.

GCF(51492,51507) = 3
LCM(51492,51507) = ( 51492 × 51507) / 3
LCM(51492,51507) = 2652198444 / 3
LCM(51492,51507) = 884066148

Least Common Multiple (LCM) of 51492 and 51507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51492 and 51507. First we will calculate the prime factors of 51492 and 51507.

Prime Factorization of 51492

Prime Factorization of 51507

Now multiplying the highest exponent prime factors to calculate the LCM of 51492 and 51507.

LCM(51492,51507) = 2² × 3² × 7¹ × 613¹ × 59¹ × 97¹
LCM(51492,51507) = 884066148