What is the Least Common Multiple of 75170 and 75189?

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 75170 and 75189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75170 and 75189, than apply into the LCM equation.

GCF(75170,75189) = 1
LCM(75170,75189) = ( 75170 × 75189) / 1
LCM(75170,75189) = 5651957130 / 1
LCM(75170,75189) = 5651957130

Least Common Multiple (LCM) of 75170 and 75189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75170 and 75189. First we will calculate the prime factors of 75170 and 75189.

Prime Factorization of 75170

Prime Factorization of 75189

Now multiplying the highest exponent prime factors to calculate the LCM of 75170 and 75189.

LCM(75170,75189) = 2¹ × 5¹ × 7517¹ × 3¹ × 71¹ × 353¹
LCM(75170,75189) = 5651957130