What is the Least Common Multiple of 74395 and 74405?

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 74395 and 74405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74395 and 74405, than apply into the LCM equation.

GCF(74395,74405) = 5
LCM(74395,74405) = ( 74395 × 74405) / 5
LCM(74395,74405) = 5535359975 / 5
LCM(74395,74405) = 1107071995

Least Common Multiple (LCM) of 74395 and 74405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74395 and 74405. First we will calculate the prime factors of 74395 and 74405.

Prime Factorization of 74395

Prime Factorization of 74405

Now multiplying the highest exponent prime factors to calculate the LCM of 74395 and 74405.

LCM(74395,74405) = 5¹ × 14879¹ × 23¹ × 647¹
LCM(74395,74405) = 1107071995