What is the Least Common Multiple of 60072 and 60079?

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 60079 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 60079, than apply into the LCM equation.

GCF(60072,60079) = 1
LCM(60072,60079) = ( 60072 × 60079) / 1
LCM(60072,60079) = 3609065688 / 1
LCM(60072,60079) = 3609065688

Least Common Multiple (LCM) of 60072 and 60079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60072 and 60079. First we will calculate the prime factors of 60072 and 60079.

Prime Factorization of 60072

Prime Factorization of 60079

Now multiplying the highest exponent prime factors to calculate the LCM of 60072 and 60079.

LCM(60072,60079) = 2³ × 3¹ × 2503¹ × 73¹ × 823¹
LCM(60072,60079) = 3609065688