What is the Least Common Multiple of 75160 and 75166?

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 75160 and 75166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75160 and 75166, than apply into the LCM equation.

GCF(75160,75166) = 2
LCM(75160,75166) = ( 75160 × 75166) / 2
LCM(75160,75166) = 5649476560 / 2
LCM(75160,75166) = 2824738280

Least Common Multiple (LCM) of 75160 and 75166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75160 and 75166. First we will calculate the prime factors of 75160 and 75166.

Prime Factorization of 75160

Prime Factorization of 75166

Now multiplying the highest exponent prime factors to calculate the LCM of 75160 and 75166.

LCM(75160,75166) = 2³ × 5¹ × 1879¹ × 7² × 13¹ × 59¹
LCM(75160,75166) = 2824738280