What is the Least Common Multiple of 47378 and 47397?

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 47378 and 47397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47378 and 47397, than apply into the LCM equation.

GCF(47378,47397) = 1
LCM(47378,47397) = ( 47378 × 47397) / 1
LCM(47378,47397) = 2245575066 / 1
LCM(47378,47397) = 2245575066

Least Common Multiple (LCM) of 47378 and 47397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47378 and 47397. First we will calculate the prime factors of 47378 and 47397.

Prime Factorization of 47378

Prime Factorization of 47397

Now multiplying the highest exponent prime factors to calculate the LCM of 47378 and 47397.

LCM(47378,47397) = 2¹ × 23689¹ × 3¹ × 7¹ × 37¹ × 61¹
LCM(47378,47397) = 2245575066