What is the Least Common Multiple of 76150 and 76168?

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 76150 and 76168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76150 and 76168, than apply into the LCM equation.

GCF(76150,76168) = 2
LCM(76150,76168) = ( 76150 × 76168) / 2
LCM(76150,76168) = 5800193200 / 2
LCM(76150,76168) = 2900096600

Least Common Multiple (LCM) of 76150 and 76168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76150 and 76168. First we will calculate the prime factors of 76150 and 76168.

Prime Factorization of 76150

Prime Factorization of 76168

Now multiplying the highest exponent prime factors to calculate the LCM of 76150 and 76168.

LCM(76150,76168) = 2³ × 5² × 1523¹ × 9521¹
LCM(76150,76168) = 2900096600