What is the Least Common Multiple of 45905 and 45916?

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 45905 and 45916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45905 and 45916, than apply into the LCM equation.

GCF(45905,45916) = 1
LCM(45905,45916) = ( 45905 × 45916) / 1
LCM(45905,45916) = 2107773980 / 1
LCM(45905,45916) = 2107773980

Least Common Multiple (LCM) of 45905 and 45916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45905 and 45916. First we will calculate the prime factors of 45905 and 45916.

Prime Factorization of 45905

Prime Factorization of 45916

Now multiplying the highest exponent prime factors to calculate the LCM of 45905 and 45916.

LCM(45905,45916) = 5¹ × 9181¹ × 2² × 13¹ × 883¹
LCM(45905,45916) = 2107773980