What is the Least Common Multiple of 70288 and 70302?

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 70288 and 70302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70288 and 70302, than apply into the LCM equation.

GCF(70288,70302) = 2
LCM(70288,70302) = ( 70288 × 70302) / 2
LCM(70288,70302) = 4941386976 / 2
LCM(70288,70302) = 2470693488

Least Common Multiple (LCM) of 70288 and 70302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70288 and 70302. First we will calculate the prime factors of 70288 and 70302.

Prime Factorization of 70288

Prime Factorization of 70302

Now multiplying the highest exponent prime factors to calculate the LCM of 70288 and 70302.

LCM(70288,70302) = 2⁴ × 23¹ × 191¹ × 3¹ × 11717¹
LCM(70288,70302) = 2470693488