What is the Least Common Multiple of 87552 and 87567?

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 87552 and 87567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87552 and 87567, than apply into the LCM equation.

GCF(87552,87567) = 3
LCM(87552,87567) = ( 87552 × 87567) / 3
LCM(87552,87567) = 7666665984 / 3
LCM(87552,87567) = 2555555328

Least Common Multiple (LCM) of 87552 and 87567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87552 and 87567. First we will calculate the prime factors of 87552 and 87567.

Prime Factorization of 87552

Prime Factorization of 87567

Now multiplying the highest exponent prime factors to calculate the LCM of 87552 and 87567.

LCM(87552,87567) = 2⁹ × 3² × 19¹ × 17² × 101¹
LCM(87552,87567) = 2555555328