What is the Least Common Multiple of 75150 and 75167?

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 75150 and 75167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75150 and 75167, than apply into the LCM equation.

GCF(75150,75167) = 1
LCM(75150,75167) = ( 75150 × 75167) / 1
LCM(75150,75167) = 5648800050 / 1
LCM(75150,75167) = 5648800050

Least Common Multiple (LCM) of 75150 and 75167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75150 and 75167. First we will calculate the prime factors of 75150 and 75167.

Prime Factorization of 75150

Prime Factorization of 75167

Now multiplying the highest exponent prime factors to calculate the LCM of 75150 and 75167.

LCM(75150,75167) = 2¹ × 3² × 5² × 167¹ × 75167¹
LCM(75150,75167) = 5648800050