What is the Least Common Multiple of 99750 and 99759?

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 99750 and 99759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99750 and 99759, than apply into the LCM equation.

GCF(99750,99759) = 3
LCM(99750,99759) = ( 99750 × 99759) / 3
LCM(99750,99759) = 9950960250 / 3
LCM(99750,99759) = 3316986750

Least Common Multiple (LCM) of 99750 and 99759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99750 and 99759. First we will calculate the prime factors of 99750 and 99759.

Prime Factorization of 99750

Prime Factorization of 99759

Now multiplying the highest exponent prime factors to calculate the LCM of 99750 and 99759.

LCM(99750,99759) = 2¹ × 3¹ × 5³ × 7¹ × 19¹ × 11¹ × 3023¹
LCM(99750,99759) = 3316986750