What is the Least Common Multiple of 99528 and 99543?

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 99528 and 99543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99528 and 99543, than apply into the LCM equation.

GCF(99528,99543) = 3
LCM(99528,99543) = ( 99528 × 99543) / 3
LCM(99528,99543) = 9907315704 / 3
LCM(99528,99543) = 3302438568

Least Common Multiple (LCM) of 99528 and 99543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99528 and 99543. First we will calculate the prime factors of 99528 and 99543.

Prime Factorization of 99528

Prime Factorization of 99543

Now multiplying the highest exponent prime factors to calculate the LCM of 99528 and 99543.

LCM(99528,99543) = 2³ × 3¹ × 11¹ × 13¹ × 29¹ × 33181¹
LCM(99528,99543) = 3302438568