What is the Least Common Multiple of 99120 and 99139?

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 99120 and 99139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99120 and 99139, than apply into the LCM equation.

GCF(99120,99139) = 1
LCM(99120,99139) = ( 99120 × 99139) / 1
LCM(99120,99139) = 9826657680 / 1
LCM(99120,99139) = 9826657680

Least Common Multiple (LCM) of 99120 and 99139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99120 and 99139. First we will calculate the prime factors of 99120 and 99139.

Prime Factorization of 99120

Prime Factorization of 99139

Now multiplying the highest exponent prime factors to calculate the LCM of 99120 and 99139.

LCM(99120,99139) = 2⁴ × 3¹ × 5¹ × 7¹ × 59¹ × 99139¹
LCM(99120,99139) = 9826657680