What is the Least Common Multiple of 99403 and 99409?

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 99403 and 99409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99403 and 99409, than apply into the LCM equation.

GCF(99403,99409) = 1
LCM(99403,99409) = ( 99403 × 99409) / 1
LCM(99403,99409) = 9881552827 / 1
LCM(99403,99409) = 9881552827

Least Common Multiple (LCM) of 99403 and 99409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99403 and 99409. First we will calculate the prime factors of 99403 and 99409.

Prime Factorization of 99403

Prime Factorization of 99409

Now multiplying the highest exponent prime factors to calculate the LCM of 99403 and 99409.

LCM(99403,99409) = 107¹ × 929¹ × 99409¹
LCM(99403,99409) = 9881552827