What is the Least Common Multiple of 45584 and 45598?

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 45584 and 45598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45584 and 45598, than apply into the LCM equation.

GCF(45584,45598) = 14
LCM(45584,45598) = ( 45584 × 45598) / 14
LCM(45584,45598) = 2078539232 / 14
LCM(45584,45598) = 148467088

Least Common Multiple (LCM) of 45584 and 45598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45584 and 45598. First we will calculate the prime factors of 45584 and 45598.

Prime Factorization of 45584

Prime Factorization of 45598

Now multiplying the highest exponent prime factors to calculate the LCM of 45584 and 45598.

LCM(45584,45598) = 2⁴ × 7¹ × 11¹ × 37¹ × 3257¹
LCM(45584,45598) = 148467088