What is the Least Common Multiple of 99464 and 99468?

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 99464 and 99468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99464 and 99468, than apply into the LCM equation.

GCF(99464,99468) = 4
LCM(99464,99468) = ( 99464 × 99468) / 4
LCM(99464,99468) = 9893485152 / 4
LCM(99464,99468) = 2473371288

Least Common Multiple (LCM) of 99464 and 99468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99464 and 99468. First we will calculate the prime factors of 99464 and 99468.

Prime Factorization of 99464

Prime Factorization of 99468

Now multiplying the highest exponent prime factors to calculate the LCM of 99464 and 99468.

LCM(99464,99468) = 2³ × 12433¹ × 3⁴ × 307¹
LCM(99464,99468) = 2473371288