What is the Least Common Multiple of 87984 and 87992?

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 87984 and 87992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87984 and 87992, than apply into the LCM equation.

GCF(87984,87992) = 8
LCM(87984,87992) = ( 87984 × 87992) / 8
LCM(87984,87992) = 7741888128 / 8
LCM(87984,87992) = 967736016

Least Common Multiple (LCM) of 87984 and 87992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87984 and 87992. First we will calculate the prime factors of 87984 and 87992.

Prime Factorization of 87984

Prime Factorization of 87992

Now multiplying the highest exponent prime factors to calculate the LCM of 87984 and 87992.

LCM(87984,87992) = 2⁴ × 3² × 13¹ × 47¹ × 17¹ × 647¹
LCM(87984,87992) = 967736016