What is the Least Common Multiple of 99378 and 99383?

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 99378 and 99383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99378 and 99383, than apply into the LCM equation.

GCF(99378,99383) = 1
LCM(99378,99383) = ( 99378 × 99383) / 1
LCM(99378,99383) = 9876483774 / 1
LCM(99378,99383) = 9876483774

Least Common Multiple (LCM) of 99378 and 99383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99378 and 99383. First we will calculate the prime factors of 99378 and 99383.

Prime Factorization of 99378

Prime Factorization of 99383

Now multiplying the highest exponent prime factors to calculate the LCM of 99378 and 99383.

LCM(99378,99383) = 2¹ × 3² × 5521¹ × 23¹ × 29¹ × 149¹
LCM(99378,99383) = 9876483774