What is the Least Common Multiple of 99369 and 99380?

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 99369 and 99380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99369 and 99380, than apply into the LCM equation.

GCF(99369,99380) = 1
LCM(99369,99380) = ( 99369 × 99380) / 1
LCM(99369,99380) = 9875291220 / 1
LCM(99369,99380) = 9875291220

Least Common Multiple (LCM) of 99369 and 99380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99369 and 99380. First we will calculate the prime factors of 99369 and 99380.

Prime Factorization of 99369

Prime Factorization of 99380

Now multiplying the highest exponent prime factors to calculate the LCM of 99369 and 99380.

LCM(99369,99380) = 3² × 61¹ × 181¹ × 2² × 5¹ × 4969¹
LCM(99369,99380) = 9875291220