What is the Least Common Multiple of 33243 and 33257?

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 33243 and 33257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33243 and 33257, than apply into the LCM equation.

GCF(33243,33257) = 7
LCM(33243,33257) = ( 33243 × 33257) / 7
LCM(33243,33257) = 1105562451 / 7
LCM(33243,33257) = 157937493

Least Common Multiple (LCM) of 33243 and 33257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33243 and 33257. First we will calculate the prime factors of 33243 and 33257.

Prime Factorization of 33243

Prime Factorization of 33257

Now multiplying the highest exponent prime factors to calculate the LCM of 33243 and 33257.

LCM(33243,33257) = 3¹ × 7¹ × 1583¹ × 4751¹
LCM(33243,33257) = 157937493