What is the Least Common Multiple of 43378 and 43397?

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 43378 and 43397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43378 and 43397, than apply into the LCM equation.

GCF(43378,43397) = 1
LCM(43378,43397) = ( 43378 × 43397) / 1
LCM(43378,43397) = 1882475066 / 1
LCM(43378,43397) = 1882475066

Least Common Multiple (LCM) of 43378 and 43397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43378 and 43397. First we will calculate the prime factors of 43378 and 43397.

Prime Factorization of 43378

Prime Factorization of 43397

Now multiplying the highest exponent prime factors to calculate the LCM of 43378 and 43397.

LCM(43378,43397) = 2¹ × 23² × 41¹ × 43397¹
LCM(43378,43397) = 1882475066