What is the Least Common Multiple of 99919 and 99939?

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 99919 and 99939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99919 and 99939, than apply into the LCM equation.

GCF(99919,99939) = 1
LCM(99919,99939) = ( 99919 × 99939) / 1
LCM(99919,99939) = 9985804941 / 1
LCM(99919,99939) = 9985804941

Least Common Multiple (LCM) of 99919 and 99939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99919 and 99939. First we will calculate the prime factors of 99919 and 99939.

Prime Factorization of 99919

Prime Factorization of 99939

Now multiplying the highest exponent prime factors to calculate the LCM of 99919 and 99939.

LCM(99919,99939) = 163¹ × 613¹ × 3¹ × 7¹ × 4759¹
LCM(99919,99939) = 9985804941