What is the Least Common Multiple of 87049 and 87060?

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 87049 and 87060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87049 and 87060, than apply into the LCM equation.

GCF(87049,87060) = 1
LCM(87049,87060) = ( 87049 × 87060) / 1
LCM(87049,87060) = 7578485940 / 1
LCM(87049,87060) = 7578485940

Least Common Multiple (LCM) of 87049 and 87060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87049 and 87060. First we will calculate the prime factors of 87049 and 87060.

Prime Factorization of 87049

Prime Factorization of 87060

Now multiplying the highest exponent prime factors to calculate the LCM of 87049 and 87060.

LCM(87049,87060) = 87049¹ × 2² × 3¹ × 5¹ × 1451¹
LCM(87049,87060) = 7578485940