What is the Least Common Multiple of 99870 and 99880?

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 99870 and 99880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99870 and 99880, than apply into the LCM equation.

GCF(99870,99880) = 10
LCM(99870,99880) = ( 99870 × 99880) / 10
LCM(99870,99880) = 9975015600 / 10
LCM(99870,99880) = 997501560

Least Common Multiple (LCM) of 99870 and 99880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99870 and 99880. First we will calculate the prime factors of 99870 and 99880.

Prime Factorization of 99870

Prime Factorization of 99880

Now multiplying the highest exponent prime factors to calculate the LCM of 99870 and 99880.

LCM(99870,99880) = 2³ × 3¹ × 5¹ × 3329¹ × 11¹ × 227¹
LCM(99870,99880) = 997501560