What is the Least Common Multiple of 45576 and 45584?

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 45576 and 45584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45576 and 45584, than apply into the LCM equation.

GCF(45576,45584) = 8
LCM(45576,45584) = ( 45576 × 45584) / 8
LCM(45576,45584) = 2077536384 / 8
LCM(45576,45584) = 259692048

Least Common Multiple (LCM) of 45576 and 45584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45576 and 45584. First we will calculate the prime factors of 45576 and 45584.

Prime Factorization of 45576

Prime Factorization of 45584

Now multiplying the highest exponent prime factors to calculate the LCM of 45576 and 45584.

LCM(45576,45584) = 2⁴ × 3³ × 211¹ × 7¹ × 11¹ × 37¹
LCM(45576,45584) = 259692048