What is the Least Common Multiple of 60360 and 60370?

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 60360 and 60370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60360 and 60370, than apply into the LCM equation.

GCF(60360,60370) = 10
LCM(60360,60370) = ( 60360 × 60370) / 10
LCM(60360,60370) = 3643933200 / 10
LCM(60360,60370) = 364393320

Least Common Multiple (LCM) of 60360 and 60370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60360 and 60370. First we will calculate the prime factors of 60360 and 60370.

Prime Factorization of 60360

Prime Factorization of 60370

Now multiplying the highest exponent prime factors to calculate the LCM of 60360 and 60370.

LCM(60360,60370) = 2³ × 3¹ × 5¹ × 503¹ × 6037¹
LCM(60360,60370) = 364393320