What is the Least Common Multiple of 51492 and 51508?

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 51508 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 51508, than apply into the LCM equation.

GCF(51492,51508) = 4
LCM(51492,51508) = ( 51492 × 51508) / 4
LCM(51492,51508) = 2652249936 / 4
LCM(51492,51508) = 663062484

Least Common Multiple (LCM) of 51492 and 51508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51492 and 51508. First we will calculate the prime factors of 51492 and 51508.

Prime Factorization of 51492

Prime Factorization of 51508

Now multiplying the highest exponent prime factors to calculate the LCM of 51492 and 51508.

LCM(51492,51508) = 2² × 3¹ × 7¹ × 613¹ × 79¹ × 163¹
LCM(51492,51508) = 663062484