What is the Least Common Multiple of 99768 and 99788?

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 99768 and 99788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99768 and 99788, than apply into the LCM equation.

GCF(99768,99788) = 4
LCM(99768,99788) = ( 99768 × 99788) / 4
LCM(99768,99788) = 9955649184 / 4
LCM(99768,99788) = 2488912296

Least Common Multiple (LCM) of 99768 and 99788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99768 and 99788. First we will calculate the prime factors of 99768 and 99788.

Prime Factorization of 99768

Prime Factorization of 99788

Now multiplying the highest exponent prime factors to calculate the LCM of 99768 and 99788.

LCM(99768,99788) = 2³ × 3¹ × 4157¹ × 13¹ × 19¹ × 101¹
LCM(99768,99788) = 2488912296