What is the Least Common Multiple of 47238 and 47257?

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 47238 and 47257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47238 and 47257, than apply into the LCM equation.

GCF(47238,47257) = 1
LCM(47238,47257) = ( 47238 × 47257) / 1
LCM(47238,47257) = 2232326166 / 1
LCM(47238,47257) = 2232326166

Least Common Multiple (LCM) of 47238 and 47257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47238 and 47257. First we will calculate the prime factors of 47238 and 47257.

Prime Factorization of 47238

Prime Factorization of 47257

Now multiplying the highest exponent prime factors to calculate the LCM of 47238 and 47257.

LCM(47238,47257) = 2¹ × 3¹ × 7873¹ × 7¹ × 43¹ × 157¹
LCM(47238,47257) = 2232326166