What is the Least Common Multiple of 99125 and 99134?

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 99125 and 99134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99125 and 99134, than apply into the LCM equation.

GCF(99125,99134) = 1
LCM(99125,99134) = ( 99125 × 99134) / 1
LCM(99125,99134) = 9826657750 / 1
LCM(99125,99134) = 9826657750

Least Common Multiple (LCM) of 99125 and 99134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99125 and 99134. First we will calculate the prime factors of 99125 and 99134.

Prime Factorization of 99125

Prime Factorization of 99134

Now multiplying the highest exponent prime factors to calculate the LCM of 99125 and 99134.

LCM(99125,99134) = 5³ × 13¹ × 61¹ × 2¹ × 7¹ × 73¹ × 97¹
LCM(99125,99134) = 9826657750