What is the Least Common Multiple of 69616 and 69628?

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 69616 and 69628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69616 and 69628, than apply into the LCM equation.

GCF(69616,69628) = 4
LCM(69616,69628) = ( 69616 × 69628) / 4
LCM(69616,69628) = 4847222848 / 4
LCM(69616,69628) = 1211805712

Least Common Multiple (LCM) of 69616 and 69628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69616 and 69628. First we will calculate the prime factors of 69616 and 69628.

Prime Factorization of 69616

Prime Factorization of 69628

Now multiplying the highest exponent prime factors to calculate the LCM of 69616 and 69628.

LCM(69616,69628) = 2⁴ × 19¹ × 229¹ × 13² × 103¹
LCM(69616,69628) = 1211805712