What is the Least Common Multiple of 93405 and 93409?

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 93405 and 93409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93405 and 93409, than apply into the LCM equation.

GCF(93405,93409) = 1
LCM(93405,93409) = ( 93405 × 93409) / 1
LCM(93405,93409) = 8724867645 / 1
LCM(93405,93409) = 8724867645

Least Common Multiple (LCM) of 93405 and 93409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93405 and 93409. First we will calculate the prime factors of 93405 and 93409.

Prime Factorization of 93405

Prime Factorization of 93409

Now multiplying the highest exponent prime factors to calculate the LCM of 93405 and 93409.

LCM(93405,93409) = 3¹ × 5¹ × 13¹ × 479¹ × 29¹ × 3221¹
LCM(93405,93409) = 8724867645