What is the Least Common Multiple of 70500 and 70515?

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 70500 and 70515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70500 and 70515, than apply into the LCM equation.

GCF(70500,70515) = 15
LCM(70500,70515) = ( 70500 × 70515) / 15
LCM(70500,70515) = 4971307500 / 15
LCM(70500,70515) = 331420500

Least Common Multiple (LCM) of 70500 and 70515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70500 and 70515. First we will calculate the prime factors of 70500 and 70515.

Prime Factorization of 70500

Prime Factorization of 70515

Now multiplying the highest exponent prime factors to calculate the LCM of 70500 and 70515.

LCM(70500,70515) = 2² × 3² × 5³ × 47¹ × 1567¹
LCM(70500,70515) = 331420500