What is the Least Common Multiple of 88642 and 88656?

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 88642 and 88656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88642 and 88656, than apply into the LCM equation.

GCF(88642,88656) = 2
LCM(88642,88656) = ( 88642 × 88656) / 2
LCM(88642,88656) = 7858645152 / 2
LCM(88642,88656) = 3929322576

Least Common Multiple (LCM) of 88642 and 88656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88642 and 88656. First we will calculate the prime factors of 88642 and 88656.

Prime Factorization of 88642

Prime Factorization of 88656

Now multiplying the highest exponent prime factors to calculate the LCM of 88642 and 88656.

LCM(88642,88656) = 2⁴ × 23¹ × 41¹ × 47¹ × 3¹ × 1847¹
LCM(88642,88656) = 3929322576