What is the Least Common Multiple of 99982 and 99996?

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 99982 and 99996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99982 and 99996, than apply into the LCM equation.

GCF(99982,99996) = 2
LCM(99982,99996) = ( 99982 × 99996) / 2
LCM(99982,99996) = 9997800072 / 2
LCM(99982,99996) = 4998900036

Least Common Multiple (LCM) of 99982 and 99996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99982 and 99996. First we will calculate the prime factors of 99982 and 99996.

Prime Factorization of 99982

Prime Factorization of 99996

Now multiplying the highest exponent prime factors to calculate the LCM of 99982 and 99996.

LCM(99982,99996) = 2² × 49991¹ × 3¹ × 13¹ × 641¹
LCM(99982,99996) = 4998900036