What is the Least Common Multiple of 24765 and 24775?

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 24765 and 24775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24765 and 24775, than apply into the LCM equation.

GCF(24765,24775) = 5
LCM(24765,24775) = ( 24765 × 24775) / 5
LCM(24765,24775) = 613552875 / 5
LCM(24765,24775) = 122710575

Least Common Multiple (LCM) of 24765 and 24775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24765 and 24775. First we will calculate the prime factors of 24765 and 24775.

Prime Factorization of 24765

Prime Factorization of 24775

Now multiplying the highest exponent prime factors to calculate the LCM of 24765 and 24775.

LCM(24765,24775) = 3¹ × 5² × 13¹ × 127¹ × 991¹
LCM(24765,24775) = 122710575