What is the Least Common Multiple of 99759 and 99777?

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 99759 and 99777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99759 and 99777, than apply into the LCM equation.

GCF(99759,99777) = 3
LCM(99759,99777) = ( 99759 × 99777) / 3
LCM(99759,99777) = 9953653743 / 3
LCM(99759,99777) = 3317884581

Least Common Multiple (LCM) of 99759 and 99777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99759 and 99777. First we will calculate the prime factors of 99759 and 99777.

Prime Factorization of 99759

Prime Factorization of 99777

Now multiplying the highest exponent prime factors to calculate the LCM of 99759 and 99777.

LCM(99759,99777) = 3¹ × 11¹ × 3023¹ × 79¹ × 421¹
LCM(99759,99777) = 3317884581