What is the Least Common Multiple of 33566 and 33580?

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 33566 and 33580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33566 and 33580, than apply into the LCM equation.

GCF(33566,33580) = 2
LCM(33566,33580) = ( 33566 × 33580) / 2
LCM(33566,33580) = 1127146280 / 2
LCM(33566,33580) = 563573140

Least Common Multiple (LCM) of 33566 and 33580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33566 and 33580. First we will calculate the prime factors of 33566 and 33580.

Prime Factorization of 33566

Prime Factorization of 33580

Now multiplying the highest exponent prime factors to calculate the LCM of 33566 and 33580.

LCM(33566,33580) = 2² × 13¹ × 1291¹ × 5¹ × 23¹ × 73¹
LCM(33566,33580) = 563573140