What is the Least Common Multiple of 77452 and 77472?

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 77452 and 77472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77452 and 77472, than apply into the LCM equation.

GCF(77452,77472) = 4
LCM(77452,77472) = ( 77452 × 77472) / 4
LCM(77452,77472) = 6000361344 / 4
LCM(77452,77472) = 1500090336

Least Common Multiple (LCM) of 77452 and 77472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77452 and 77472. First we will calculate the prime factors of 77452 and 77472.

Prime Factorization of 77452

Prime Factorization of 77472

Now multiplying the highest exponent prime factors to calculate the LCM of 77452 and 77472.

LCM(77452,77472) = 2⁵ × 17² × 67¹ × 3² × 269¹
LCM(77452,77472) = 1500090336