What is the Least Common Multiple of 60492 and 60501?

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 60501 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 60501, than apply into the LCM equation.

GCF(60492,60501) = 3
LCM(60492,60501) = ( 60492 × 60501) / 3
LCM(60492,60501) = 3659826492 / 3
LCM(60492,60501) = 1219942164

Least Common Multiple (LCM) of 60492 and 60501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60492 and 60501. First we will calculate the prime factors of 60492 and 60501.

Prime Factorization of 60492

Prime Factorization of 60501

Now multiplying the highest exponent prime factors to calculate the LCM of 60492 and 60501.

LCM(60492,60501) = 2² × 3¹ × 71² × 7¹ × 43¹ × 67¹
LCM(60492,60501) = 1219942164