What is the Least Common Multiple of 24505 and 24515?

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 24505 and 24515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24505 and 24515, than apply into the LCM equation.

GCF(24505,24515) = 5
LCM(24505,24515) = ( 24505 × 24515) / 5
LCM(24505,24515) = 600740075 / 5
LCM(24505,24515) = 120148015

Least Common Multiple (LCM) of 24505 and 24515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24505 and 24515. First we will calculate the prime factors of 24505 and 24515.

Prime Factorization of 24505

Prime Factorization of 24515

Now multiplying the highest exponent prime factors to calculate the LCM of 24505 and 24515.

LCM(24505,24515) = 5¹ × 13² × 29¹ × 4903¹
LCM(24505,24515) = 120148015