What is the Least Common Multiple of 26398 and 26403?

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 26398 and 26403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26398 and 26403, than apply into the LCM equation.

GCF(26398,26403) = 1
LCM(26398,26403) = ( 26398 × 26403) / 1
LCM(26398,26403) = 696986394 / 1
LCM(26398,26403) = 696986394

Least Common Multiple (LCM) of 26398 and 26403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26398 and 26403. First we will calculate the prime factors of 26398 and 26403.

Prime Factorization of 26398

Prime Factorization of 26403

Now multiplying the highest exponent prime factors to calculate the LCM of 26398 and 26403.

LCM(26398,26403) = 2¹ × 67¹ × 197¹ × 3¹ × 13¹ × 677¹
LCM(26398,26403) = 696986394