What is the Least Common Multiple of 99376 and 99388?

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 99376 and 99388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99376 and 99388, than apply into the LCM equation.

GCF(99376,99388) = 4
LCM(99376,99388) = ( 99376 × 99388) / 4
LCM(99376,99388) = 9876781888 / 4
LCM(99376,99388) = 2469195472

Least Common Multiple (LCM) of 99376 and 99388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99376 and 99388. First we will calculate the prime factors of 99376 and 99388.

Prime Factorization of 99376

Prime Factorization of 99388

Now multiplying the highest exponent prime factors to calculate the LCM of 99376 and 99388.

LCM(99376,99388) = 2⁴ × 6211¹ × 24847¹
LCM(99376,99388) = 2469195472