What is the Least Common Multiple of 78024 and 78044?

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 78024 and 78044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78024 and 78044, than apply into the LCM equation.

GCF(78024,78044) = 4
LCM(78024,78044) = ( 78024 × 78044) / 4
LCM(78024,78044) = 6089305056 / 4
LCM(78024,78044) = 1522326264

Least Common Multiple (LCM) of 78024 and 78044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78024 and 78044. First we will calculate the prime factors of 78024 and 78044.

Prime Factorization of 78024

Prime Factorization of 78044

Now multiplying the highest exponent prime factors to calculate the LCM of 78024 and 78044.

LCM(78024,78044) = 2³ × 3¹ × 3251¹ × 109¹ × 179¹
LCM(78024,78044) = 1522326264