What is the Least Common Multiple of 69616 and 69635?

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 69635 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 69635, than apply into the LCM equation.

GCF(69616,69635) = 19
LCM(69616,69635) = ( 69616 × 69635) / 19
LCM(69616,69635) = 4847710160 / 19
LCM(69616,69635) = 255142640

Least Common Multiple (LCM) of 69616 and 69635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69616 and 69635. First we will calculate the prime factors of 69616 and 69635.

Prime Factorization of 69616

Prime Factorization of 69635

Now multiplying the highest exponent prime factors to calculate the LCM of 69616 and 69635.

LCM(69616,69635) = 2⁴ × 19¹ × 229¹ × 5¹ × 733¹
LCM(69616,69635) = 255142640