What is the Least Common Multiple of 69616 and 69632?

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 69632 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 69632, than apply into the LCM equation.

GCF(69616,69632) = 16
LCM(69616,69632) = ( 69616 × 69632) / 16
LCM(69616,69632) = 4847501312 / 16
LCM(69616,69632) = 302968832

Least Common Multiple (LCM) of 69616 and 69632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69616 and 69632. First we will calculate the prime factors of 69616 and 69632.

Prime Factorization of 69616

Prime Factorization of 69632

Now multiplying the highest exponent prime factors to calculate the LCM of 69616 and 69632.

LCM(69616,69632) = 2¹² × 19¹ × 229¹ × 17¹
LCM(69616,69632) = 302968832