What is the Least Common Multiple of 70128 and 70140?

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 70128 and 70140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70128 and 70140, than apply into the LCM equation.

GCF(70128,70140) = 12
LCM(70128,70140) = ( 70128 × 70140) / 12
LCM(70128,70140) = 4918777920 / 12
LCM(70128,70140) = 409898160

Least Common Multiple (LCM) of 70128 and 70140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70128 and 70140. First we will calculate the prime factors of 70128 and 70140.

Prime Factorization of 70128

Prime Factorization of 70140

Now multiplying the highest exponent prime factors to calculate the LCM of 70128 and 70140.

LCM(70128,70140) = 2⁴ × 3² × 487¹ × 5¹ × 7¹ × 167¹
LCM(70128,70140) = 409898160