What is the Least Common Multiple of 33580 and 33584?

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 33580 and 33584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33580 and 33584, than apply into the LCM equation.

GCF(33580,33584) = 4
LCM(33580,33584) = ( 33580 × 33584) / 4
LCM(33580,33584) = 1127750720 / 4
LCM(33580,33584) = 281937680

Least Common Multiple (LCM) of 33580 and 33584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33580 and 33584. First we will calculate the prime factors of 33580 and 33584.

Prime Factorization of 33580

Prime Factorization of 33584

Now multiplying the highest exponent prime factors to calculate the LCM of 33580 and 33584.

LCM(33580,33584) = 2⁴ × 5¹ × 23¹ × 73¹ × 2099¹
LCM(33580,33584) = 281937680