What is the Least Common Multiple of 99510 and 99520?

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 99510 and 99520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99510 and 99520, than apply into the LCM equation.

GCF(99510,99520) = 10
LCM(99510,99520) = ( 99510 × 99520) / 10
LCM(99510,99520) = 9903235200 / 10
LCM(99510,99520) = 990323520

Least Common Multiple (LCM) of 99510 and 99520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99510 and 99520. First we will calculate the prime factors of 99510 and 99520.

Prime Factorization of 99510

Prime Factorization of 99520

Now multiplying the highest exponent prime factors to calculate the LCM of 99510 and 99520.

LCM(99510,99520) = 2⁶ × 3¹ × 5¹ × 31¹ × 107¹ × 311¹
LCM(99510,99520) = 990323520