What is the Least Common Multiple of 70144 and 70164?

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 70144 and 70164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70144 and 70164, than apply into the LCM equation.

GCF(70144,70164) = 4
LCM(70144,70164) = ( 70144 × 70164) / 4
LCM(70144,70164) = 4921583616 / 4
LCM(70144,70164) = 1230395904

Least Common Multiple (LCM) of 70144 and 70164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70144 and 70164. First we will calculate the prime factors of 70144 and 70164.

Prime Factorization of 70144

Prime Factorization of 70164

Now multiplying the highest exponent prime factors to calculate the LCM of 70144 and 70164.

LCM(70144,70164) = 2⁹ × 137¹ × 3² × 1949¹
LCM(70144,70164) = 1230395904