What is the Least Common Multiple of 99123 and 99141?

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 99123 and 99141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99123 and 99141, than apply into the LCM equation.

GCF(99123,99141) = 3
LCM(99123,99141) = ( 99123 × 99141) / 3
LCM(99123,99141) = 9827153343 / 3
LCM(99123,99141) = 3275717781

Least Common Multiple (LCM) of 99123 and 99141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99123 and 99141. First we will calculate the prime factors of 99123 and 99141.

Prime Factorization of 99123

Prime Factorization of 99141

Now multiplying the highest exponent prime factors to calculate the LCM of 99123 and 99141.

LCM(99123,99141) = 3¹ × 19¹ × 37¹ × 47¹ × 7¹ × 4721¹
LCM(99123,99141) = 3275717781