What is the Least Common Multiple of 70174 and 70188?

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 70188 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 70188, than apply into the LCM equation.

GCF(70174,70188) = 2
LCM(70174,70188) = ( 70174 × 70188) / 2
LCM(70174,70188) = 4925372712 / 2
LCM(70174,70188) = 2462686356

Least Common Multiple (LCM) of 70174 and 70188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70174 and 70188. First we will calculate the prime factors of 70174 and 70188.

Prime Factorization of 70174

Prime Factorization of 70188

Now multiplying the highest exponent prime factors to calculate the LCM of 70174 and 70188.

LCM(70174,70188) = 2² × 13¹ × 2699¹ × 3¹ × 5849¹
LCM(70174,70188) = 2462686356