What is the Least Common Multiple of 96140 and 96150?

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 96140 and 96150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96140 and 96150, than apply into the LCM equation.

GCF(96140,96150) = 10
LCM(96140,96150) = ( 96140 × 96150) / 10
LCM(96140,96150) = 9243861000 / 10
LCM(96140,96150) = 924386100

Least Common Multiple (LCM) of 96140 and 96150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96140 and 96150. First we will calculate the prime factors of 96140 and 96150.

Prime Factorization of 96140

Prime Factorization of 96150

Now multiplying the highest exponent prime factors to calculate the LCM of 96140 and 96150.

LCM(96140,96150) = 2² × 5² × 11¹ × 19¹ × 23¹ × 3¹ × 641¹
LCM(96140,96150) = 924386100