What is the Least Common Multiple of 99413 and 99421?

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 99413 and 99421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99413 and 99421, than apply into the LCM equation.

GCF(99413,99421) = 1
LCM(99413,99421) = ( 99413 × 99421) / 1
LCM(99413,99421) = 9883739873 / 1
LCM(99413,99421) = 9883739873

Least Common Multiple (LCM) of 99413 and 99421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99413 and 99421. First we will calculate the prime factors of 99413 and 99421.

Prime Factorization of 99413

Prime Factorization of 99421

Now multiplying the highest exponent prime factors to calculate the LCM of 99413 and 99421.

LCM(99413,99421) = 89¹ × 1117¹ × 7² × 2029¹
LCM(99413,99421) = 9883739873