What is the Least Common Multiple of 47564 and 47575?

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 47564 and 47575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47564 and 47575, than apply into the LCM equation.

GCF(47564,47575) = 11
LCM(47564,47575) = ( 47564 × 47575) / 11
LCM(47564,47575) = 2262857300 / 11
LCM(47564,47575) = 205714300

Least Common Multiple (LCM) of 47564 and 47575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47564 and 47575. First we will calculate the prime factors of 47564 and 47575.

Prime Factorization of 47564

Prime Factorization of 47575

Now multiplying the highest exponent prime factors to calculate the LCM of 47564 and 47575.

LCM(47564,47575) = 2² × 11¹ × 23¹ × 47¹ × 5² × 173¹
LCM(47564,47575) = 205714300