What is the Least Common Multiple of 51398 and 51403?

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 51398 and 51403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51398 and 51403, than apply into the LCM equation.

GCF(51398,51403) = 1
LCM(51398,51403) = ( 51398 × 51403) / 1
LCM(51398,51403) = 2642011394 / 1
LCM(51398,51403) = 2642011394

Least Common Multiple (LCM) of 51398 and 51403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51398 and 51403. First we will calculate the prime factors of 51398 and 51403.

Prime Factorization of 51398

Prime Factorization of 51403

Now multiplying the highest exponent prime factors to calculate the LCM of 51398 and 51403.

LCM(51398,51403) = 2¹ × 31¹ × 829¹ × 11¹ × 4673¹
LCM(51398,51403) = 2642011394