What is the Least Common Multiple of 87040 and 87056?

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 87040 and 87056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87040 and 87056, than apply into the LCM equation.

GCF(87040,87056) = 16
LCM(87040,87056) = ( 87040 × 87056) / 16
LCM(87040,87056) = 7577354240 / 16
LCM(87040,87056) = 473584640

Least Common Multiple (LCM) of 87040 and 87056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87040 and 87056. First we will calculate the prime factors of 87040 and 87056.

Prime Factorization of 87040

Prime Factorization of 87056

Now multiplying the highest exponent prime factors to calculate the LCM of 87040 and 87056.

LCM(87040,87056) = 2¹⁰ × 5¹ × 17¹ × 5441¹
LCM(87040,87056) = 473584640