What is the Least Common Multiple of 70174 and 70178?

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 70178 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 70178, than apply into the LCM equation.

GCF(70174,70178) = 2
LCM(70174,70178) = ( 70174 × 70178) / 2
LCM(70174,70178) = 4924670972 / 2
LCM(70174,70178) = 2462335486

Least Common Multiple (LCM) of 70174 and 70178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70174 and 70178. First we will calculate the prime factors of 70174 and 70178.

Prime Factorization of 70174

Prime Factorization of 70178

Now multiplying the highest exponent prime factors to calculate the LCM of 70174 and 70178.

LCM(70174,70178) = 2¹ × 13¹ × 2699¹ × 35089¹
LCM(70174,70178) = 2462335486