What is the Least Common Multiple of 99950 and 99968?

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 99950 and 99968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99950 and 99968, than apply into the LCM equation.

GCF(99950,99968) = 2
LCM(99950,99968) = ( 99950 × 99968) / 2
LCM(99950,99968) = 9991801600 / 2
LCM(99950,99968) = 4995900800

Least Common Multiple (LCM) of 99950 and 99968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99950 and 99968. First we will calculate the prime factors of 99950 and 99968.

Prime Factorization of 99950

Prime Factorization of 99968

Now multiplying the highest exponent prime factors to calculate the LCM of 99950 and 99968.

LCM(99950,99968) = 2⁷ × 5² × 1999¹ × 11¹ × 71¹
LCM(99950,99968) = 4995900800