What is the Least Common Multiple of 99930 and 99936?

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 99930 and 99936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99930 and 99936, than apply into the LCM equation.

GCF(99930,99936) = 6
LCM(99930,99936) = ( 99930 × 99936) / 6
LCM(99930,99936) = 9986604480 / 6
LCM(99930,99936) = 1664434080

Least Common Multiple (LCM) of 99930 and 99936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99930 and 99936. First we will calculate the prime factors of 99930 and 99936.

Prime Factorization of 99930

Prime Factorization of 99936

Now multiplying the highest exponent prime factors to calculate the LCM of 99930 and 99936.

LCM(99930,99936) = 2⁵ × 3² × 5¹ × 3331¹ × 347¹
LCM(99930,99936) = 1664434080