What is the Least Common Multiple of 99798 and 99818?

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 99798 and 99818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99798 and 99818, than apply into the LCM equation.

GCF(99798,99818) = 2
LCM(99798,99818) = ( 99798 × 99818) / 2
LCM(99798,99818) = 9961636764 / 2
LCM(99798,99818) = 4980818382

Least Common Multiple (LCM) of 99798 and 99818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99798 and 99818. First we will calculate the prime factors of 99798 and 99818.

Prime Factorization of 99798

Prime Factorization of 99818

Now multiplying the highest exponent prime factors to calculate the LCM of 99798 and 99818.

LCM(99798,99818) = 2¹ × 3¹ × 16633¹ × 29¹ × 1721¹
LCM(99798,99818) = 4980818382