What is the Least Common Multiple of 70174 and 70185?

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 70185 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 70185, than apply into the LCM equation.

GCF(70174,70185) = 1
LCM(70174,70185) = ( 70174 × 70185) / 1
LCM(70174,70185) = 4925162190 / 1
LCM(70174,70185) = 4925162190

Least Common Multiple (LCM) of 70174 and 70185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70174 and 70185. First we will calculate the prime factors of 70174 and 70185.

Prime Factorization of 70174

Prime Factorization of 70185

Now multiplying the highest exponent prime factors to calculate the LCM of 70174 and 70185.

LCM(70174,70185) = 2¹ × 13¹ × 2699¹ × 3¹ × 5¹ × 4679¹
LCM(70174,70185) = 4925162190