What is the Least Common Multiple of 61398 and 61403?

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 61398 and 61403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61398 and 61403, than apply into the LCM equation.

GCF(61398,61403) = 1
LCM(61398,61403) = ( 61398 × 61403) / 1
LCM(61398,61403) = 3770021394 / 1
LCM(61398,61403) = 3770021394

Least Common Multiple (LCM) of 61398 and 61403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61398 and 61403. First we will calculate the prime factors of 61398 and 61403.

Prime Factorization of 61398

Prime Factorization of 61403

Now multiplying the highest exponent prime factors to calculate the LCM of 61398 and 61403.

LCM(61398,61403) = 2¹ × 3⁴ × 379¹ × 61403¹
LCM(61398,61403) = 3770021394