What is the Least Common Multiple of 70640 and 70650?

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 70640 and 70650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70640 and 70650, than apply into the LCM equation.

GCF(70640,70650) = 10
LCM(70640,70650) = ( 70640 × 70650) / 10
LCM(70640,70650) = 4990716000 / 10
LCM(70640,70650) = 499071600

Least Common Multiple (LCM) of 70640 and 70650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70640 and 70650. First we will calculate the prime factors of 70640 and 70650.

Prime Factorization of 70640

Prime Factorization of 70650

Now multiplying the highest exponent prime factors to calculate the LCM of 70640 and 70650.

LCM(70640,70650) = 2⁴ × 5² × 883¹ × 3² × 157¹
LCM(70640,70650) = 499071600