What is the Least Common Multiple of 99759 and 99763?

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 99763 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 99763, than apply into the LCM equation.

GCF(99759,99763) = 1
LCM(99759,99763) = ( 99759 × 99763) / 1
LCM(99759,99763) = 9952257117 / 1
LCM(99759,99763) = 9952257117

Least Common Multiple (LCM) of 99759 and 99763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99759 and 99763. First we will calculate the prime factors of 99759 and 99763.

Prime Factorization of 99759

Prime Factorization of 99763

Now multiplying the highest exponent prime factors to calculate the LCM of 99759 and 99763.

LCM(99759,99763) = 3¹ × 11¹ × 3023¹ × 67¹ × 1489¹
LCM(99759,99763) = 9952257117