What is the Least Common Multiple of 45328 and 45345?

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 45328 and 45345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45328 and 45345, than apply into the LCM equation.

GCF(45328,45345) = 1
LCM(45328,45345) = ( 45328 × 45345) / 1
LCM(45328,45345) = 2055398160 / 1
LCM(45328,45345) = 2055398160

Least Common Multiple (LCM) of 45328 and 45345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45328 and 45345. First we will calculate the prime factors of 45328 and 45345.

Prime Factorization of 45328

Prime Factorization of 45345

Now multiplying the highest exponent prime factors to calculate the LCM of 45328 and 45345.

LCM(45328,45345) = 2⁴ × 2833¹ × 3¹ × 5¹ × 3023¹
LCM(45328,45345) = 2055398160