What is the Least Common Multiple of 87072 and 87077?

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 87077 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 87077, than apply into the LCM equation.

GCF(87072,87077) = 1
LCM(87072,87077) = ( 87072 × 87077) / 1
LCM(87072,87077) = 7581968544 / 1
LCM(87072,87077) = 7581968544

Least Common Multiple (LCM) of 87072 and 87077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87072 and 87077. First we will calculate the prime factors of 87072 and 87077.

Prime Factorization of 87072

Prime Factorization of 87077

Now multiplying the highest exponent prime factors to calculate the LCM of 87072 and 87077.

LCM(87072,87077) = 2⁵ × 3¹ × 907¹ × 19¹ × 4583¹
LCM(87072,87077) = 7581968544