What is the Least Common Multiple of 77024 and 77038?

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 77024 and 77038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77024 and 77038, than apply into the LCM equation.

GCF(77024,77038) = 2
LCM(77024,77038) = ( 77024 × 77038) / 2
LCM(77024,77038) = 5933774912 / 2
LCM(77024,77038) = 2966887456

Least Common Multiple (LCM) of 77024 and 77038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77024 and 77038. First we will calculate the prime factors of 77024 and 77038.

Prime Factorization of 77024

Prime Factorization of 77038

Now multiplying the highest exponent prime factors to calculate the LCM of 77024 and 77038.

LCM(77024,77038) = 2⁵ × 29¹ × 83¹ × 13¹ × 2963¹
LCM(77024,77038) = 2966887456