What is the Least Common Multiple of 87456 and 87471?

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 87456 and 87471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87456 and 87471, than apply into the LCM equation.

GCF(87456,87471) = 3
LCM(87456,87471) = ( 87456 × 87471) / 3
LCM(87456,87471) = 7649863776 / 3
LCM(87456,87471) = 2549954592

Least Common Multiple (LCM) of 87456 and 87471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87456 and 87471. First we will calculate the prime factors of 87456 and 87471.

Prime Factorization of 87456

Prime Factorization of 87471

Now multiplying the highest exponent prime factors to calculate the LCM of 87456 and 87471.

LCM(87456,87471) = 2⁵ × 3² × 911¹ × 9719¹
LCM(87456,87471) = 2549954592