What is the Least Common Multiple of 47249 and 47263?

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 47249 and 47263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47249 and 47263, than apply into the LCM equation.

GCF(47249,47263) = 1
LCM(47249,47263) = ( 47249 × 47263) / 1
LCM(47249,47263) = 2233129487 / 1
LCM(47249,47263) = 2233129487

Least Common Multiple (LCM) of 47249 and 47263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47249 and 47263. First we will calculate the prime factors of 47249 and 47263.

Prime Factorization of 47249

Prime Factorization of 47263

Now multiplying the highest exponent prime factors to calculate the LCM of 47249 and 47263.

LCM(47249,47263) = 37¹ × 1277¹ × 151¹ × 313¹
LCM(47249,47263) = 2233129487