What is the Least Common Multiple of 23360 and 23365?

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 23360 and 23365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23360 and 23365, than apply into the LCM equation.

GCF(23360,23365) = 5
LCM(23360,23365) = ( 23360 × 23365) / 5
LCM(23360,23365) = 545806400 / 5
LCM(23360,23365) = 109161280

Least Common Multiple (LCM) of 23360 and 23365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23360 and 23365. First we will calculate the prime factors of 23360 and 23365.

Prime Factorization of 23360

Prime Factorization of 23365

Now multiplying the highest exponent prime factors to calculate the LCM of 23360 and 23365.

LCM(23360,23365) = 2⁶ × 5¹ × 73¹ × 4673¹
LCM(23360,23365) = 109161280