What is the Least Common Multiple of 70392 and 70412?

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 70392 and 70412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70392 and 70412, than apply into the LCM equation.

GCF(70392,70412) = 4
LCM(70392,70412) = ( 70392 × 70412) / 4
LCM(70392,70412) = 4956441504 / 4
LCM(70392,70412) = 1239110376

Least Common Multiple (LCM) of 70392 and 70412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70392 and 70412. First we will calculate the prime factors of 70392 and 70412.

Prime Factorization of 70392

Prime Factorization of 70412

Now multiplying the highest exponent prime factors to calculate the LCM of 70392 and 70412.

LCM(70392,70412) = 2³ × 3¹ × 7¹ × 419¹ × 29¹ × 607¹
LCM(70392,70412) = 1239110376