What is the Least Common Multiple of 33580 and 33596?

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 33596 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 33596, than apply into the LCM equation.

GCF(33580,33596) = 4
LCM(33580,33596) = ( 33580 × 33596) / 4
LCM(33580,33596) = 1128153680 / 4
LCM(33580,33596) = 282038420

Least Common Multiple (LCM) of 33580 and 33596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33580 and 33596. First we will calculate the prime factors of 33580 and 33596.

Prime Factorization of 33580

Prime Factorization of 33596

Now multiplying the highest exponent prime factors to calculate the LCM of 33580 and 33596.

LCM(33580,33596) = 2² × 5¹ × 23¹ × 73¹ × 37¹ × 227¹
LCM(33580,33596) = 282038420