What is the Least Common Multiple of 99395 and 99407?

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 99395 and 99407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99395 and 99407, than apply into the LCM equation.

GCF(99395,99407) = 1
LCM(99395,99407) = ( 99395 × 99407) / 1
LCM(99395,99407) = 9880558765 / 1
LCM(99395,99407) = 9880558765

Least Common Multiple (LCM) of 99395 and 99407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99395 and 99407. First we will calculate the prime factors of 99395 and 99407.

Prime Factorization of 99395

Prime Factorization of 99407

Now multiplying the highest exponent prime factors to calculate the LCM of 99395 and 99407.

LCM(99395,99407) = 5¹ × 103¹ × 193¹ × 7¹ × 11¹ × 1291¹
LCM(99395,99407) = 9880558765