What is the Least Common Multiple of 24945 and 24954?

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 24945 and 24954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24945 and 24954, than apply into the LCM equation.

GCF(24945,24954) = 3
LCM(24945,24954) = ( 24945 × 24954) / 3
LCM(24945,24954) = 622477530 / 3
LCM(24945,24954) = 207492510

Least Common Multiple (LCM) of 24945 and 24954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24945 and 24954. First we will calculate the prime factors of 24945 and 24954.

Prime Factorization of 24945

Prime Factorization of 24954

Now multiplying the highest exponent prime factors to calculate the LCM of 24945 and 24954.

LCM(24945,24954) = 3¹ × 5¹ × 1663¹ × 2¹ × 4159¹
LCM(24945,24954) = 207492510