What is the Least Common Multiple of 70174 and 70179?

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 70174 and 70179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70174 and 70179, than apply into the LCM equation.

GCF(70174,70179) = 1
LCM(70174,70179) = ( 70174 × 70179) / 1
LCM(70174,70179) = 4924741146 / 1
LCM(70174,70179) = 4924741146

Least Common Multiple (LCM) of 70174 and 70179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70174 and 70179. First we will calculate the prime factors of 70174 and 70179.

Prime Factorization of 70174

Prime Factorization of 70179

Now multiplying the highest exponent prime factors to calculate the LCM of 70174 and 70179.

LCM(70174,70179) = 2¹ × 13¹ × 2699¹ × 3¹ × 149¹ × 157¹
LCM(70174,70179) = 4924741146