What is the Least Common Multiple of 45882 and 45893?

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 45882 and 45893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45882 and 45893, than apply into the LCM equation.

GCF(45882,45893) = 1
LCM(45882,45893) = ( 45882 × 45893) / 1
LCM(45882,45893) = 2105662626 / 1
LCM(45882,45893) = 2105662626

Least Common Multiple (LCM) of 45882 and 45893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45882 and 45893. First we will calculate the prime factors of 45882 and 45893.

Prime Factorization of 45882

Prime Factorization of 45893

Now multiplying the highest exponent prime factors to calculate the LCM of 45882 and 45893.

LCM(45882,45893) = 2¹ × 3² × 2549¹ × 45893¹
LCM(45882,45893) = 2105662626