What is the Least Common Multiple of 23562 and 23575?

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 23562 and 23575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23562 and 23575, than apply into the LCM equation.

GCF(23562,23575) = 1
LCM(23562,23575) = ( 23562 × 23575) / 1
LCM(23562,23575) = 555474150 / 1
LCM(23562,23575) = 555474150

Least Common Multiple (LCM) of 23562 and 23575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23562 and 23575. First we will calculate the prime factors of 23562 and 23575.

Prime Factorization of 23562

Prime Factorization of 23575

Now multiplying the highest exponent prime factors to calculate the LCM of 23562 and 23575.

LCM(23562,23575) = 2¹ × 3² × 7¹ × 11¹ × 17¹ × 5² × 23¹ × 41¹
LCM(23562,23575) = 555474150