What is the Least Common Multiple of 96130 and 96140?

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 96130 and 96140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96130 and 96140, than apply into the LCM equation.

GCF(96130,96140) = 10
LCM(96130,96140) = ( 96130 × 96140) / 10
LCM(96130,96140) = 9241938200 / 10
LCM(96130,96140) = 924193820

Least Common Multiple (LCM) of 96130 and 96140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96130 and 96140. First we will calculate the prime factors of 96130 and 96140.

Prime Factorization of 96130

Prime Factorization of 96140

Now multiplying the highest exponent prime factors to calculate the LCM of 96130 and 96140.

LCM(96130,96140) = 2² × 5¹ × 9613¹ × 11¹ × 19¹ × 23¹
LCM(96130,96140) = 924193820