What is the Least Common Multiple of 70120 and 70139?

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 70120 and 70139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70120 and 70139, than apply into the LCM equation.

GCF(70120,70139) = 1
LCM(70120,70139) = ( 70120 × 70139) / 1
LCM(70120,70139) = 4918146680 / 1
LCM(70120,70139) = 4918146680

Least Common Multiple (LCM) of 70120 and 70139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70120 and 70139. First we will calculate the prime factors of 70120 and 70139.

Prime Factorization of 70120

Prime Factorization of 70139

Now multiplying the highest exponent prime factors to calculate the LCM of 70120 and 70139.

LCM(70120,70139) = 2³ × 5¹ × 1753¹ × 70139¹
LCM(70120,70139) = 4918146680