What is the Least Common Multiple of 24255 and 24265?

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 24255 and 24265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24255 and 24265, than apply into the LCM equation.

GCF(24255,24265) = 5
LCM(24255,24265) = ( 24255 × 24265) / 5
LCM(24255,24265) = 588547575 / 5
LCM(24255,24265) = 117709515

Least Common Multiple (LCM) of 24255 and 24265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24255 and 24265. First we will calculate the prime factors of 24255 and 24265.

Prime Factorization of 24255

Prime Factorization of 24265

Now multiplying the highest exponent prime factors to calculate the LCM of 24255 and 24265.

LCM(24255,24265) = 3² × 5¹ × 7² × 11¹ × 23¹ × 211¹
LCM(24255,24265) = 117709515