What is the Least Common Multiple of 10378 and 10397?

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 10378 and 10397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10378 and 10397, than apply into the LCM equation.

GCF(10378,10397) = 1
LCM(10378,10397) = ( 10378 × 10397) / 1
LCM(10378,10397) = 107900066 / 1
LCM(10378,10397) = 107900066

Least Common Multiple (LCM) of 10378 and 10397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10378 and 10397. First we will calculate the prime factors of 10378 and 10397.

Prime Factorization of 10378

Prime Factorization of 10397

Now multiplying the highest exponent prime factors to calculate the LCM of 10378 and 10397.

LCM(10378,10397) = 2¹ × 5189¹ × 37¹ × 281¹
LCM(10378,10397) = 107900066