What is the Least Common Multiple of 26398 and 26415?

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 26415 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 26415, than apply into the LCM equation.

GCF(26398,26415) = 1
LCM(26398,26415) = ( 26398 × 26415) / 1
LCM(26398,26415) = 697303170 / 1
LCM(26398,26415) = 697303170

Least Common Multiple (LCM) of 26398 and 26415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26398 and 26415. First we will calculate the prime factors of 26398 and 26415.

Prime Factorization of 26398

Prime Factorization of 26415

Now multiplying the highest exponent prime factors to calculate the LCM of 26398 and 26415.

LCM(26398,26415) = 2¹ × 67¹ × 197¹ × 3² × 5¹ × 587¹
LCM(26398,26415) = 697303170