What is the Least Common Multiple of 60528 and 60542?

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 60528 and 60542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60528 and 60542, than apply into the LCM equation.

GCF(60528,60542) = 2
LCM(60528,60542) = ( 60528 × 60542) / 2
LCM(60528,60542) = 3664486176 / 2
LCM(60528,60542) = 1832243088

Least Common Multiple (LCM) of 60528 and 60542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60528 and 60542. First we will calculate the prime factors of 60528 and 60542.

Prime Factorization of 60528

Prime Factorization of 60542

Now multiplying the highest exponent prime factors to calculate the LCM of 60528 and 60542.

LCM(60528,60542) = 2⁴ × 3¹ × 13¹ × 97¹ × 30271¹
LCM(60528,60542) = 1832243088