What is the Least Common Multiple of 47549 and 47564?

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 47549 and 47564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47549 and 47564, than apply into the LCM equation.

GCF(47549,47564) = 1
LCM(47549,47564) = ( 47549 × 47564) / 1
LCM(47549,47564) = 2261620636 / 1
LCM(47549,47564) = 2261620636

Least Common Multiple (LCM) of 47549 and 47564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47549 and 47564. First we will calculate the prime factors of 47549 and 47564.

Prime Factorization of 47549

Prime Factorization of 47564

Now multiplying the highest exponent prime factors to calculate the LCM of 47549 and 47564.

LCM(47549,47564) = 17¹ × 2797¹ × 2² × 11¹ × 23¹ × 47¹
LCM(47549,47564) = 2261620636