What is the Least Common Multiple of 99462 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 99462 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 99462 and 99468, than apply into the LCM equation.

GCF(99462,99468) = 6
LCM(99462,99468) = ( 99462 × 99468) / 6
LCM(99462,99468) = 9893286216 / 6
LCM(99462,99468) = 1648881036

Least Common Multiple (LCM) of 99462 and 99468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99462 and 99468. First we will calculate the prime factors of 99462 and 99468.

Prime Factorization of 99462

Prime Factorization of 99468

Now multiplying the highest exponent prime factors to calculate the LCM of 99462 and 99468.

LCM(99462,99468) = 2² × 3⁴ × 11² × 137¹ × 307¹
LCM(99462,99468) = 1648881036