What is the Least Common Multiple of 70134 and 70144?

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 70134 and 70144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70134 and 70144, than apply into the LCM equation.

GCF(70134,70144) = 2
LCM(70134,70144) = ( 70134 × 70144) / 2
LCM(70134,70144) = 4919479296 / 2
LCM(70134,70144) = 2459739648

Least Common Multiple (LCM) of 70134 and 70144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70134 and 70144. First we will calculate the prime factors of 70134 and 70144.

Prime Factorization of 70134

Prime Factorization of 70144

Now multiplying the highest exponent prime factors to calculate the LCM of 70134 and 70144.

LCM(70134,70144) = 2⁹ × 3¹ × 11689¹ × 137¹
LCM(70134,70144) = 2459739648