What is the Least Common Multiple of 60342 and 60360?

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 60342 and 60360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60342 and 60360, than apply into the LCM equation.

GCF(60342,60360) = 6
LCM(60342,60360) = ( 60342 × 60360) / 6
LCM(60342,60360) = 3642243120 / 6
LCM(60342,60360) = 607040520

Least Common Multiple (LCM) of 60342 and 60360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60342 and 60360. First we will calculate the prime factors of 60342 and 60360.

Prime Factorization of 60342

Prime Factorization of 60360

Now multiplying the highest exponent prime factors to calculate the LCM of 60342 and 60360.

LCM(60342,60360) = 2³ × 3¹ × 89¹ × 113¹ × 5¹ × 503¹
LCM(60342,60360) = 607040520