What is the Least Common Multiple of 33358 and 33371?

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 33371 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 33371, than apply into the LCM equation.

GCF(33358,33371) = 13
LCM(33358,33371) = ( 33358 × 33371) / 13
LCM(33358,33371) = 1113189818 / 13
LCM(33358,33371) = 85629986

Least Common Multiple (LCM) of 33358 and 33371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33358 and 33371. First we will calculate the prime factors of 33358 and 33371.

Prime Factorization of 33358

Prime Factorization of 33371

Now multiplying the highest exponent prime factors to calculate the LCM of 33358 and 33371.

LCM(33358,33371) = 2¹ × 13¹ × 1283¹ × 17¹ × 151¹
LCM(33358,33371) = 85629986