What is the Least Common Multiple of 87880 and 87896?

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 87880 and 87896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87880 and 87896, than apply into the LCM equation.

GCF(87880,87896) = 8
LCM(87880,87896) = ( 87880 × 87896) / 8
LCM(87880,87896) = 7724300480 / 8
LCM(87880,87896) = 965537560

Least Common Multiple (LCM) of 87880 and 87896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87880 and 87896. First we will calculate the prime factors of 87880 and 87896.

Prime Factorization of 87880

Prime Factorization of 87896

Now multiplying the highest exponent prime factors to calculate the LCM of 87880 and 87896.

LCM(87880,87896) = 2³ × 5¹ × 13³ × 10987¹
LCM(87880,87896) = 965537560