What is the Least Common Multiple of 60492 and 60508?

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 60492 and 60508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60492 and 60508, than apply into the LCM equation.

GCF(60492,60508) = 4
LCM(60492,60508) = ( 60492 × 60508) / 4
LCM(60492,60508) = 3660249936 / 4
LCM(60492,60508) = 915062484

Least Common Multiple (LCM) of 60492 and 60508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60492 and 60508. First we will calculate the prime factors of 60492 and 60508.

Prime Factorization of 60492

Prime Factorization of 60508

Now multiplying the highest exponent prime factors to calculate the LCM of 60492 and 60508.

LCM(60492,60508) = 2² × 3¹ × 71² × 7¹ × 2161¹
LCM(60492,60508) = 915062484