What is the Least Common Multiple of 47239 and 47243?

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 47239 and 47243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47239 and 47243, than apply into the LCM equation.

GCF(47239,47243) = 1
LCM(47239,47243) = ( 47239 × 47243) / 1
LCM(47239,47243) = 2231712077 / 1
LCM(47239,47243) = 2231712077

Least Common Multiple (LCM) of 47239 and 47243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47239 and 47243. First we will calculate the prime factors of 47239 and 47243.

Prime Factorization of 47239

Prime Factorization of 47243

Now multiplying the highest exponent prime factors to calculate the LCM of 47239 and 47243.

LCM(47239,47243) = 97¹ × 487¹ × 7¹ × 17¹ × 397¹
LCM(47239,47243) = 2231712077