What is the Least Common Multiple of 26419 and 26438?

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 26419 and 26438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26419 and 26438, than apply into the LCM equation.

GCF(26419,26438) = 1
LCM(26419,26438) = ( 26419 × 26438) / 1
LCM(26419,26438) = 698465522 / 1
LCM(26419,26438) = 698465522

Least Common Multiple (LCM) of 26419 and 26438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26419 and 26438. First we will calculate the prime factors of 26419 and 26438.

Prime Factorization of 26419

Prime Factorization of 26438

Now multiplying the highest exponent prime factors to calculate the LCM of 26419 and 26438.

LCM(26419,26438) = 29¹ × 911¹ × 2¹ × 13219¹
LCM(26419,26438) = 698465522