What is the Least Common Multiple of 24355 and 24365?

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 24355 and 24365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24355 and 24365, than apply into the LCM equation.

GCF(24355,24365) = 5
LCM(24355,24365) = ( 24355 × 24365) / 5
LCM(24355,24365) = 593409575 / 5
LCM(24355,24365) = 118681915

Least Common Multiple (LCM) of 24355 and 24365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24355 and 24365. First we will calculate the prime factors of 24355 and 24365.

Prime Factorization of 24355

Prime Factorization of 24365

Now multiplying the highest exponent prime factors to calculate the LCM of 24355 and 24365.

LCM(24355,24365) = 5¹ × 4871¹ × 11¹ × 443¹
LCM(24355,24365) = 118681915