What is the Least Common Multiple of 99921 and 99937?

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 99921 and 99937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99921 and 99937, than apply into the LCM equation.

GCF(99921,99937) = 1
LCM(99921,99937) = ( 99921 × 99937) / 1
LCM(99921,99937) = 9985804977 / 1
LCM(99921,99937) = 9985804977

Least Common Multiple (LCM) of 99921 and 99937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99921 and 99937. First we will calculate the prime factors of 99921 and 99937.

Prime Factorization of 99921

Prime Factorization of 99937

Now multiplying the highest exponent prime factors to calculate the LCM of 99921 and 99937.

LCM(99921,99937) = 3¹ × 19¹ × 1753¹ × 37² × 73¹
LCM(99921,99937) = 9985804977