What is the Least Common Multiple of 7233 and 7237?

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 7233 and 7237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7233 and 7237, than apply into the LCM equation.

GCF(7233,7237) = 1
LCM(7233,7237) = ( 7233 × 7237) / 1
LCM(7233,7237) = 52345221 / 1
LCM(7233,7237) = 52345221

Least Common Multiple (LCM) of 7233 and 7237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7233 and 7237. First we will calculate the prime factors of 7233 and 7237.

Prime Factorization of 7233

Prime Factorization of 7237

Now multiplying the highest exponent prime factors to calculate the LCM of 7233 and 7237.

LCM(7233,7237) = 3¹ × 2411¹ × 7237¹
LCM(7233,7237) = 52345221