What is the Least Common Multiple of 23233 and 23240?

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 23233 and 23240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23233 and 23240, than apply into the LCM equation.

GCF(23233,23240) = 7
LCM(23233,23240) = ( 23233 × 23240) / 7
LCM(23233,23240) = 539934920 / 7
LCM(23233,23240) = 77133560

Least Common Multiple (LCM) of 23233 and 23240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23233 and 23240. First we will calculate the prime factors of 23233 and 23240.

Prime Factorization of 23233

Prime Factorization of 23240

Now multiplying the highest exponent prime factors to calculate the LCM of 23233 and 23240.

LCM(23233,23240) = 7¹ × 3319¹ × 2³ × 5¹ × 83¹
LCM(23233,23240) = 77133560