What is the Least Common Multiple of 99930 and 99935?

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 99935 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 99935, than apply into the LCM equation.

GCF(99930,99935) = 5
LCM(99930,99935) = ( 99930 × 99935) / 5
LCM(99930,99935) = 9986504550 / 5
LCM(99930,99935) = 1997300910

Least Common Multiple (LCM) of 99930 and 99935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99930 and 99935. First we will calculate the prime factors of 99930 and 99935.

Prime Factorization of 99930

Prime Factorization of 99935

Now multiplying the highest exponent prime factors to calculate the LCM of 99930 and 99935.

LCM(99930,99935) = 2¹ × 3¹ × 5¹ × 3331¹ × 11¹ × 23¹ × 79¹
LCM(99930,99935) = 1997300910