What is the Least Common Multiple of 47257 and 47277?

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 47257 and 47277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47257 and 47277, than apply into the LCM equation.

GCF(47257,47277) = 1
LCM(47257,47277) = ( 47257 × 47277) / 1
LCM(47257,47277) = 2234169189 / 1
LCM(47257,47277) = 2234169189

Least Common Multiple (LCM) of 47257 and 47277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47257 and 47277. First we will calculate the prime factors of 47257 and 47277.

Prime Factorization of 47257

Prime Factorization of 47277

Now multiplying the highest exponent prime factors to calculate the LCM of 47257 and 47277.

LCM(47257,47277) = 7¹ × 43¹ × 157¹ × 3³ × 17¹ × 103¹
LCM(47257,47277) = 2234169189