What is the Least Common Multiple of 87060 and 87068?

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 87060 and 87068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87060 and 87068, than apply into the LCM equation.

GCF(87060,87068) = 4
LCM(87060,87068) = ( 87060 × 87068) / 4
LCM(87060,87068) = 7580140080 / 4
LCM(87060,87068) = 1895035020

Least Common Multiple (LCM) of 87060 and 87068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87060 and 87068. First we will calculate the prime factors of 87060 and 87068.

Prime Factorization of 87060

Prime Factorization of 87068

Now multiplying the highest exponent prime factors to calculate the LCM of 87060 and 87068.

LCM(87060,87068) = 2² × 3¹ × 5¹ × 1451¹ × 21767¹
LCM(87060,87068) = 1895035020