What is the Least Common Multiple of 33369 and 33378?

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 33369 and 33378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33369 and 33378, than apply into the LCM equation.

GCF(33369,33378) = 3
LCM(33369,33378) = ( 33369 × 33378) / 3
LCM(33369,33378) = 1113790482 / 3
LCM(33369,33378) = 371263494

Least Common Multiple (LCM) of 33369 and 33378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33369 and 33378. First we will calculate the prime factors of 33369 and 33378.

Prime Factorization of 33369

Prime Factorization of 33378

Now multiplying the highest exponent prime factors to calculate the LCM of 33369 and 33378.

LCM(33369,33378) = 3¹ × 7² × 227¹ × 2¹ × 5563¹
LCM(33369,33378) = 371263494