What is the Least Common Multiple of 47357 and 47377?

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 47357 and 47377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47357 and 47377, than apply into the LCM equation.

GCF(47357,47377) = 1
LCM(47357,47377) = ( 47357 × 47377) / 1
LCM(47357,47377) = 2243632589 / 1
LCM(47357,47377) = 2243632589

Least Common Multiple (LCM) of 47357 and 47377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47357 and 47377. First we will calculate the prime factors of 47357 and 47377.

Prime Factorization of 47357

Prime Factorization of 47377

Now multiplying the highest exponent prime factors to calculate the LCM of 47357 and 47377.

LCM(47357,47377) = 23¹ × 29¹ × 71¹ × 11¹ × 59¹ × 73¹
LCM(47357,47377) = 2243632589