What is the Least Common Multiple of 99780 and 99796?

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 99780 and 99796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99780 and 99796, than apply into the LCM equation.

GCF(99780,99796) = 4
LCM(99780,99796) = ( 99780 × 99796) / 4
LCM(99780,99796) = 9957644880 / 4
LCM(99780,99796) = 2489411220

Least Common Multiple (LCM) of 99780 and 99796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99780 and 99796. First we will calculate the prime factors of 99780 and 99796.

Prime Factorization of 99780

Prime Factorization of 99796

Now multiplying the highest exponent prime factors to calculate the LCM of 99780 and 99796.

LCM(99780,99796) = 2² × 3¹ × 5¹ × 1663¹ × 61¹ × 409¹
LCM(99780,99796) = 2489411220