What is the Least Common Multiple of 70464 and 70479?

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 70464 and 70479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70464 and 70479, than apply into the LCM equation.

GCF(70464,70479) = 3
LCM(70464,70479) = ( 70464 × 70479) / 3
LCM(70464,70479) = 4966232256 / 3
LCM(70464,70479) = 1655410752

Least Common Multiple (LCM) of 70464 and 70479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70464 and 70479. First we will calculate the prime factors of 70464 and 70479.

Prime Factorization of 70464

Prime Factorization of 70479

Now multiplying the highest exponent prime factors to calculate the LCM of 70464 and 70479.

LCM(70464,70479) = 2⁶ × 3² × 367¹ × 41¹ × 191¹
LCM(70464,70479) = 1655410752