What is the Least Common Multiple of 70593 and 70612?

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 70593 and 70612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70593 and 70612, than apply into the LCM equation.

GCF(70593,70612) = 1
LCM(70593,70612) = ( 70593 × 70612) / 1
LCM(70593,70612) = 4984712916 / 1
LCM(70593,70612) = 4984712916

Least Common Multiple (LCM) of 70593 and 70612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70593 and 70612. First we will calculate the prime factors of 70593 and 70612.

Prime Factorization of 70593

Prime Factorization of 70612

Now multiplying the highest exponent prime factors to calculate the LCM of 70593 and 70612.

LCM(70593,70612) = 3¹ × 23531¹ × 2² × 127¹ × 139¹
LCM(70593,70612) = 4984712916