What is the Least Common Multiple of 33596 and 33604?

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 33596 and 33604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33596 and 33604, than apply into the LCM equation.

GCF(33596,33604) = 4
LCM(33596,33604) = ( 33596 × 33604) / 4
LCM(33596,33604) = 1128959984 / 4
LCM(33596,33604) = 282239996

Least Common Multiple (LCM) of 33596 and 33604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33596 and 33604. First we will calculate the prime factors of 33596 and 33604.

Prime Factorization of 33596

Prime Factorization of 33604

Now multiplying the highest exponent prime factors to calculate the LCM of 33596 and 33604.

LCM(33596,33604) = 2² × 37¹ × 227¹ × 31¹ × 271¹
LCM(33596,33604) = 282239996