What is the Least Common Multiple of 99120 and 99125?

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 99125 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 99125, than apply into the LCM equation.

GCF(99120,99125) = 5
LCM(99120,99125) = ( 99120 × 99125) / 5
LCM(99120,99125) = 9825270000 / 5
LCM(99120,99125) = 1965054000

Least Common Multiple (LCM) of 99120 and 99125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99120 and 99125. First we will calculate the prime factors of 99120 and 99125.

Prime Factorization of 99120

Prime Factorization of 99125

Now multiplying the highest exponent prime factors to calculate the LCM of 99120 and 99125.

LCM(99120,99125) = 2⁴ × 3¹ × 5³ × 7¹ × 59¹ × 13¹ × 61¹
LCM(99120,99125) = 1965054000