What is the Least Common Multiple of 88616 and 88628?

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 88616 and 88628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88616 and 88628, than apply into the LCM equation.

GCF(88616,88628) = 4
LCM(88616,88628) = ( 88616 × 88628) / 4
LCM(88616,88628) = 7853858848 / 4
LCM(88616,88628) = 1963464712

Least Common Multiple (LCM) of 88616 and 88628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88616 and 88628. First we will calculate the prime factors of 88616 and 88628.

Prime Factorization of 88616

Prime Factorization of 88628

Now multiplying the highest exponent prime factors to calculate the LCM of 88616 and 88628.

LCM(88616,88628) = 2³ × 11¹ × 19¹ × 53¹ × 22157¹
LCM(88616,88628) = 1963464712