What is the Least Common Multiple of 45809 and 45827?

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 45809 and 45827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45809 and 45827, than apply into the LCM equation.

GCF(45809,45827) = 1
LCM(45809,45827) = ( 45809 × 45827) / 1
LCM(45809,45827) = 2099289043 / 1
LCM(45809,45827) = 2099289043

Least Common Multiple (LCM) of 45809 and 45827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45809 and 45827. First we will calculate the prime factors of 45809 and 45827.

Prime Factorization of 45809

Prime Factorization of 45827

Now multiplying the highest exponent prime factors to calculate the LCM of 45809 and 45827.

LCM(45809,45827) = 19¹ × 2411¹ × 45827¹
LCM(45809,45827) = 2099289043