What is the Least Common Multiple of 47397 and 47417?

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 47397 and 47417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47397 and 47417, than apply into the LCM equation.

GCF(47397,47417) = 1
LCM(47397,47417) = ( 47397 × 47417) / 1
LCM(47397,47417) = 2247423549 / 1
LCM(47397,47417) = 2247423549

Least Common Multiple (LCM) of 47397 and 47417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47397 and 47417. First we will calculate the prime factors of 47397 and 47417.

Prime Factorization of 47397

Prime Factorization of 47417

Now multiplying the highest exponent prime factors to calculate the LCM of 47397 and 47417.

LCM(47397,47417) = 3¹ × 7¹ × 37¹ × 61¹ × 47417¹
LCM(47397,47417) = 2247423549