What is the Least Common Multiple of 24905 and 24916?

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 24905 and 24916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24905 and 24916, than apply into the LCM equation.

GCF(24905,24916) = 1
LCM(24905,24916) = ( 24905 × 24916) / 1
LCM(24905,24916) = 620532980 / 1
LCM(24905,24916) = 620532980

Least Common Multiple (LCM) of 24905 and 24916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24905 and 24916. First we will calculate the prime factors of 24905 and 24916.

Prime Factorization of 24905

Prime Factorization of 24916

Now multiplying the highest exponent prime factors to calculate the LCM of 24905 and 24916.

LCM(24905,24916) = 5¹ × 17¹ × 293¹ × 2² × 6229¹
LCM(24905,24916) = 620532980