What is the Least Common Multiple of 70116 and 70128?

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 70116 and 70128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70116 and 70128, than apply into the LCM equation.

GCF(70116,70128) = 12
LCM(70116,70128) = ( 70116 × 70128) / 12
LCM(70116,70128) = 4917094848 / 12
LCM(70116,70128) = 409757904

Least Common Multiple (LCM) of 70116 and 70128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70116 and 70128. First we will calculate the prime factors of 70116 and 70128.

Prime Factorization of 70116

Prime Factorization of 70128

Now multiplying the highest exponent prime factors to calculate the LCM of 70116 and 70128.

LCM(70116,70128) = 2⁴ × 3² × 5843¹ × 487¹
LCM(70116,70128) = 409757904