What is the Least Common Multiple of 33418 and 33436?

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 33418 and 33436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33418 and 33436, than apply into the LCM equation.

GCF(33418,33436) = 2
LCM(33418,33436) = ( 33418 × 33436) / 2
LCM(33418,33436) = 1117364248 / 2
LCM(33418,33436) = 558682124

Least Common Multiple (LCM) of 33418 and 33436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33418 and 33436. First we will calculate the prime factors of 33418 and 33436.

Prime Factorization of 33418

Prime Factorization of 33436

Now multiplying the highest exponent prime factors to calculate the LCM of 33418 and 33436.

LCM(33418,33436) = 2² × 7² × 11¹ × 31¹ × 13¹ × 643¹
LCM(33418,33436) = 558682124