What is the Least Common Multiple of 70695 and 70713?

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 70695 and 70713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70695 and 70713, than apply into the LCM equation.

GCF(70695,70713) = 9
LCM(70695,70713) = ( 70695 × 70713) / 9
LCM(70695,70713) = 4999055535 / 9
LCM(70695,70713) = 555450615

Least Common Multiple (LCM) of 70695 and 70713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70695 and 70713. First we will calculate the prime factors of 70695 and 70713.

Prime Factorization of 70695

Prime Factorization of 70713

Now multiplying the highest exponent prime factors to calculate the LCM of 70695 and 70713.

LCM(70695,70713) = 3⁶ × 5¹ × 1571¹ × 97¹
LCM(70695,70713) = 555450615