What is the Least Common Multiple of 45806 and 45825?

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 45806 and 45825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45806 and 45825, than apply into the LCM equation.

GCF(45806,45825) = 1
LCM(45806,45825) = ( 45806 × 45825) / 1
LCM(45806,45825) = 2099059950 / 1
LCM(45806,45825) = 2099059950

Least Common Multiple (LCM) of 45806 and 45825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45806 and 45825. First we will calculate the prime factors of 45806 and 45825.

Prime Factorization of 45806

Prime Factorization of 45825

Now multiplying the highest exponent prime factors to calculate the LCM of 45806 and 45825.

LCM(45806,45825) = 2¹ × 37¹ × 619¹ × 3¹ × 5² × 13¹ × 47¹
LCM(45806,45825) = 2099059950