What is the Least Common Multiple of 60072 and 60080?

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 60072 and 60080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60072 and 60080, than apply into the LCM equation.

GCF(60072,60080) = 8
LCM(60072,60080) = ( 60072 × 60080) / 8
LCM(60072,60080) = 3609125760 / 8
LCM(60072,60080) = 451140720

Least Common Multiple (LCM) of 60072 and 60080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60072 and 60080. First we will calculate the prime factors of 60072 and 60080.

Prime Factorization of 60072

Prime Factorization of 60080

Now multiplying the highest exponent prime factors to calculate the LCM of 60072 and 60080.

LCM(60072,60080) = 2⁴ × 3¹ × 2503¹ × 5¹ × 751¹
LCM(60072,60080) = 451140720