What is the Least Common Multiple of 99601 and 99613?

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 99601 and 99613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99601 and 99613, than apply into the LCM equation.

GCF(99601,99613) = 1
LCM(99601,99613) = ( 99601 × 99613) / 1
LCM(99601,99613) = 9921554413 / 1
LCM(99601,99613) = 9921554413

Least Common Multiple (LCM) of 99601 and 99613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99601 and 99613. First we will calculate the prime factors of 99601 and 99613.

Prime Factorization of 99601

Prime Factorization of 99613

Now multiplying the highest exponent prime factors to calculate the LCM of 99601 and 99613.

LCM(99601,99613) = 103¹ × 967¹ × 23¹ × 61¹ × 71¹
LCM(99601,99613) = 9921554413