What is the Least Common Multiple of 24765 and 24774?

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 24774 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 24774, than apply into the LCM equation.

GCF(24765,24774) = 3
LCM(24765,24774) = ( 24765 × 24774) / 3
LCM(24765,24774) = 613528110 / 3
LCM(24765,24774) = 204509370

Least Common Multiple (LCM) of 24765 and 24774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24765 and 24774. First we will calculate the prime factors of 24765 and 24774.

Prime Factorization of 24765

Prime Factorization of 24774

Now multiplying the highest exponent prime factors to calculate the LCM of 24765 and 24774.

LCM(24765,24774) = 3¹ × 5¹ × 13¹ × 127¹ × 2¹ × 4129¹
LCM(24765,24774) = 204509370