What is the Least Common Multiple of 87072 and 87092?

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 87072 and 87092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87072 and 87092, than apply into the LCM equation.

GCF(87072,87092) = 4
LCM(87072,87092) = ( 87072 × 87092) / 4
LCM(87072,87092) = 7583274624 / 4
LCM(87072,87092) = 1895818656

Least Common Multiple (LCM) of 87072 and 87092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87072 and 87092. First we will calculate the prime factors of 87072 and 87092.

Prime Factorization of 87072

Prime Factorization of 87092

Now multiplying the highest exponent prime factors to calculate the LCM of 87072 and 87092.

LCM(87072,87092) = 2⁵ × 3¹ × 907¹ × 21773¹
LCM(87072,87092) = 1895818656