What is the Least Common Multiple of 24945 and 24955?

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 24955 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 24955, than apply into the LCM equation.

GCF(24945,24955) = 5
LCM(24945,24955) = ( 24945 × 24955) / 5
LCM(24945,24955) = 622502475 / 5
LCM(24945,24955) = 124500495

Least Common Multiple (LCM) of 24945 and 24955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24945 and 24955. First we will calculate the prime factors of 24945 and 24955.

Prime Factorization of 24945

Prime Factorization of 24955

Now multiplying the highest exponent prime factors to calculate the LCM of 24945 and 24955.

LCM(24945,24955) = 3¹ × 5¹ × 1663¹ × 7¹ × 23¹ × 31¹
LCM(24945,24955) = 124500495