What is the Least Common Multiple of 60120 and 60135?

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 60120 and 60135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60120 and 60135, than apply into the LCM equation.

GCF(60120,60135) = 15
LCM(60120,60135) = ( 60120 × 60135) / 15
LCM(60120,60135) = 3615316200 / 15
LCM(60120,60135) = 241021080

Least Common Multiple (LCM) of 60120 and 60135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60120 and 60135. First we will calculate the prime factors of 60120 and 60135.

Prime Factorization of 60120

Prime Factorization of 60135

Now multiplying the highest exponent prime factors to calculate the LCM of 60120 and 60135.

LCM(60120,60135) = 2³ × 3² × 5¹ × 167¹ × 19¹ × 211¹
LCM(60120,60135) = 241021080