What is the Least Common Multiple of 99744 and 99753?

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 99744 and 99753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99744 and 99753, than apply into the LCM equation.

GCF(99744,99753) = 3
LCM(99744,99753) = ( 99744 × 99753) / 3
LCM(99744,99753) = 9949763232 / 3
LCM(99744,99753) = 3316587744

Least Common Multiple (LCM) of 99744 and 99753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99744 and 99753. First we will calculate the prime factors of 99744 and 99753.

Prime Factorization of 99744

Prime Factorization of 99753

Now multiplying the highest exponent prime factors to calculate the LCM of 99744 and 99753.

LCM(99744,99753) = 2⁵ × 3¹ × 1039¹ × 41¹ × 811¹
LCM(99744,99753) = 3316587744