What is the Least Common Multiple of 70464 and 70480?

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 70480 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 70480, than apply into the LCM equation.

GCF(70464,70480) = 16
LCM(70464,70480) = ( 70464 × 70480) / 16
LCM(70464,70480) = 4966302720 / 16
LCM(70464,70480) = 310393920

Least Common Multiple (LCM) of 70464 and 70480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70464 and 70480. First we will calculate the prime factors of 70464 and 70480.

Prime Factorization of 70464

Prime Factorization of 70480

Now multiplying the highest exponent prime factors to calculate the LCM of 70464 and 70480.

LCM(70464,70480) = 2⁶ × 3¹ × 367¹ × 5¹ × 881¹
LCM(70464,70480) = 310393920