What is the Least Common Multiple of 99958 and 99978?

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 99958 and 99978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99958 and 99978, than apply into the LCM equation.

GCF(99958,99978) = 2
LCM(99958,99978) = ( 99958 × 99978) / 2
LCM(99958,99978) = 9993600924 / 2
LCM(99958,99978) = 4996800462

Least Common Multiple (LCM) of 99958 and 99978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99958 and 99978. First we will calculate the prime factors of 99958 and 99978.

Prime Factorization of 99958

Prime Factorization of 99978

Now multiplying the highest exponent prime factors to calculate the LCM of 99958 and 99978.

LCM(99958,99978) = 2¹ × 23¹ × 41¹ × 53¹ × 3¹ × 19¹ × 877¹
LCM(99958,99978) = 4996800462