What is the Least Common Multiple of 99968 and 99974?

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 99968 and 99974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99968 and 99974, than apply into the LCM equation.

GCF(99968,99974) = 2
LCM(99968,99974) = ( 99968 × 99974) / 2
LCM(99968,99974) = 9994200832 / 2
LCM(99968,99974) = 4997100416

Least Common Multiple (LCM) of 99968 and 99974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99968 and 99974. First we will calculate the prime factors of 99968 and 99974.

Prime Factorization of 99968

Prime Factorization of 99974

Now multiplying the highest exponent prime factors to calculate the LCM of 99968 and 99974.

LCM(99968,99974) = 2⁷ × 11¹ × 71¹ × 7¹ × 37¹ × 193¹
LCM(99968,99974) = 4997100416