What is the Least Common Multiple of 96125 and 96139?

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 96125 and 96139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96125 and 96139, than apply into the LCM equation.

GCF(96125,96139) = 1
LCM(96125,96139) = ( 96125 × 96139) / 1
LCM(96125,96139) = 9241361375 / 1
LCM(96125,96139) = 9241361375

Least Common Multiple (LCM) of 96125 and 96139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96125 and 96139. First we will calculate the prime factors of 96125 and 96139.

Prime Factorization of 96125

Prime Factorization of 96139

Now multiplying the highest exponent prime factors to calculate the LCM of 96125 and 96139.

LCM(96125,96139) = 5³ × 769¹ × 127¹ × 757¹
LCM(96125,96139) = 9241361375