What is the Least Common Multiple of 45539 and 45547?

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 45539 and 45547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45539 and 45547, than apply into the LCM equation.

GCF(45539,45547) = 1
LCM(45539,45547) = ( 45539 × 45547) / 1
LCM(45539,45547) = 2074164833 / 1
LCM(45539,45547) = 2074164833

Least Common Multiple (LCM) of 45539 and 45547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45539 and 45547. First we will calculate the prime factors of 45539 and 45547.

Prime Factorization of 45539

Prime Factorization of 45547

Now multiplying the highest exponent prime factors to calculate the LCM of 45539 and 45547.

LCM(45539,45547) = 13¹ × 31¹ × 113¹ × 37¹ × 1231¹
LCM(45539,45547) = 2074164833