What is the Least Common Multiple of 47235 and 47249?

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 47235 and 47249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47235 and 47249, than apply into the LCM equation.

GCF(47235,47249) = 1
LCM(47235,47249) = ( 47235 × 47249) / 1
LCM(47235,47249) = 2231806515 / 1
LCM(47235,47249) = 2231806515

Least Common Multiple (LCM) of 47235 and 47249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47235 and 47249. First we will calculate the prime factors of 47235 and 47249.

Prime Factorization of 47235

Prime Factorization of 47249

Now multiplying the highest exponent prime factors to calculate the LCM of 47235 and 47249.

LCM(47235,47249) = 3¹ × 5¹ × 47¹ × 67¹ × 37¹ × 1277¹
LCM(47235,47249) = 2231806515