What is the Least Common Multiple of 33358 and 33377?

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 33358 and 33377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33358 and 33377, than apply into the LCM equation.

GCF(33358,33377) = 1
LCM(33358,33377) = ( 33358 × 33377) / 1
LCM(33358,33377) = 1113389966 / 1
LCM(33358,33377) = 1113389966

Least Common Multiple (LCM) of 33358 and 33377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33358 and 33377. First we will calculate the prime factors of 33358 and 33377.

Prime Factorization of 33358

Prime Factorization of 33377

Now multiplying the highest exponent prime factors to calculate the LCM of 33358 and 33377.

LCM(33358,33377) = 2¹ × 13¹ × 1283¹ × 33377¹
LCM(33358,33377) = 1113389966