What is the Least Common Multiple of 24405 and 24415?

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 24405 and 24415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24405 and 24415, than apply into the LCM equation.

GCF(24405,24415) = 5
LCM(24405,24415) = ( 24405 × 24415) / 5
LCM(24405,24415) = 595848075 / 5
LCM(24405,24415) = 119169615

Least Common Multiple (LCM) of 24405 and 24415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24405 and 24415. First we will calculate the prime factors of 24405 and 24415.

Prime Factorization of 24405

Prime Factorization of 24415

Now multiplying the highest exponent prime factors to calculate the LCM of 24405 and 24415.

LCM(24405,24415) = 3¹ × 5¹ × 1627¹ × 19¹ × 257¹
LCM(24405,24415) = 119169615