What is the Least Common Multiple of 45592 and 45611?

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 45592 and 45611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45592 and 45611, than apply into the LCM equation.

GCF(45592,45611) = 1
LCM(45592,45611) = ( 45592 × 45611) / 1
LCM(45592,45611) = 2079496712 / 1
LCM(45592,45611) = 2079496712

Least Common Multiple (LCM) of 45592 and 45611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45592 and 45611. First we will calculate the prime factors of 45592 and 45611.

Prime Factorization of 45592

Prime Factorization of 45611

Now multiplying the highest exponent prime factors to calculate the LCM of 45592 and 45611.

LCM(45592,45611) = 2³ × 41¹ × 139¹ × 17¹ × 2683¹
LCM(45592,45611) = 2079496712