What is the Least Common Multiple of 87648 and 87656?

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 87648 and 87656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87648 and 87656, than apply into the LCM equation.

GCF(87648,87656) = 8
LCM(87648,87656) = ( 87648 × 87656) / 8
LCM(87648,87656) = 7682873088 / 8
LCM(87648,87656) = 960359136

Least Common Multiple (LCM) of 87648 and 87656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87648 and 87656. First we will calculate the prime factors of 87648 and 87656.

Prime Factorization of 87648

Prime Factorization of 87656

Now multiplying the highest exponent prime factors to calculate the LCM of 87648 and 87656.

LCM(87648,87656) = 2⁵ × 3¹ × 11¹ × 83¹ × 10957¹
LCM(87648,87656) = 960359136