What is the Least Common Multiple of 10233 and 10237?

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 10233 and 10237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10233 and 10237, than apply into the LCM equation.

GCF(10233,10237) = 1
LCM(10233,10237) = ( 10233 × 10237) / 1
LCM(10233,10237) = 104755221 / 1
LCM(10233,10237) = 104755221

Least Common Multiple (LCM) of 10233 and 10237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10233 and 10237. First we will calculate the prime factors of 10233 and 10237.

Prime Factorization of 10233

Prime Factorization of 10237

Now multiplying the highest exponent prime factors to calculate the LCM of 10233 and 10237.

LCM(10233,10237) = 3³ × 379¹ × 29¹ × 353¹
LCM(10233,10237) = 104755221