What is the Least Common Multiple of 70168 and 70174?

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 70168 and 70174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70168 and 70174, than apply into the LCM equation.

GCF(70168,70174) = 2
LCM(70168,70174) = ( 70168 × 70174) / 2
LCM(70168,70174) = 4923969232 / 2
LCM(70168,70174) = 2461984616

Least Common Multiple (LCM) of 70168 and 70174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70168 and 70174. First we will calculate the prime factors of 70168 and 70174.

Prime Factorization of 70168

Prime Factorization of 70174

Now multiplying the highest exponent prime factors to calculate the LCM of 70168 and 70174.

LCM(70168,70174) = 2³ × 7² × 179¹ × 13¹ × 2699¹
LCM(70168,70174) = 2461984616