What is the Least Common Multiple of 99747 and 99762?

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 99747 and 99762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99747 and 99762, than apply into the LCM equation.

GCF(99747,99762) = 3
LCM(99747,99762) = ( 99747 × 99762) / 3
LCM(99747,99762) = 9950960214 / 3
LCM(99747,99762) = 3316986738

Least Common Multiple (LCM) of 99747 and 99762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99747 and 99762. First we will calculate the prime factors of 99747 and 99762.

Prime Factorization of 99747

Prime Factorization of 99762

Now multiplying the highest exponent prime factors to calculate the LCM of 99747 and 99762.

LCM(99747,99762) = 3² × 11083¹ × 2¹ × 13¹ × 1279¹
LCM(99747,99762) = 3316986738