What is the Least Common Multiple of 70284 and 70304?

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 70284 and 70304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70284 and 70304, than apply into the LCM equation.

GCF(70284,70304) = 4
LCM(70284,70304) = ( 70284 × 70304) / 4
LCM(70284,70304) = 4941246336 / 4
LCM(70284,70304) = 1235311584

Least Common Multiple (LCM) of 70284 and 70304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70284 and 70304. First we will calculate the prime factors of 70284 and 70304.

Prime Factorization of 70284

Prime Factorization of 70304

Now multiplying the highest exponent prime factors to calculate the LCM of 70284 and 70304.

LCM(70284,70304) = 2⁵ × 3¹ × 5857¹ × 13³
LCM(70284,70304) = 1235311584