What is the Least Common Multiple of 99914 and 99930?

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 99914 and 99930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99914 and 99930, than apply into the LCM equation.

GCF(99914,99930) = 2
LCM(99914,99930) = ( 99914 × 99930) / 2
LCM(99914,99930) = 9984406020 / 2
LCM(99914,99930) = 4992203010

Least Common Multiple (LCM) of 99914 and 99930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99914 and 99930. First we will calculate the prime factors of 99914 and 99930.

Prime Factorization of 99914

Prime Factorization of 99930

Now multiplying the highest exponent prime factors to calculate the LCM of 99914 and 99930.

LCM(99914,99930) = 2¹ × 49957¹ × 3¹ × 5¹ × 3331¹
LCM(99914,99930) = 4992203010