What is the Least Common Multiple of 7215 and 7233?

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 7215 and 7233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7215 and 7233, than apply into the LCM equation.

GCF(7215,7233) = 3
LCM(7215,7233) = ( 7215 × 7233) / 3
LCM(7215,7233) = 52186095 / 3
LCM(7215,7233) = 17395365

Least Common Multiple (LCM) of 7215 and 7233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7215 and 7233. First we will calculate the prime factors of 7215 and 7233.

Prime Factorization of 7215

Prime Factorization of 7233

Now multiplying the highest exponent prime factors to calculate the LCM of 7215 and 7233.

LCM(7215,7233) = 3¹ × 5¹ × 13¹ × 37¹ × 2411¹
LCM(7215,7233) = 17395365