What is the Least Common Multiple of 26419 and 26436?

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 26436 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 26436, than apply into the LCM equation.

GCF(26419,26436) = 1
LCM(26419,26436) = ( 26419 × 26436) / 1
LCM(26419,26436) = 698412684 / 1
LCM(26419,26436) = 698412684

Least Common Multiple (LCM) of 26419 and 26436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26419 and 26436. First we will calculate the prime factors of 26419 and 26436.

Prime Factorization of 26419

Prime Factorization of 26436

Now multiplying the highest exponent prime factors to calculate the LCM of 26419 and 26436.

LCM(26419,26436) = 29¹ × 911¹ × 2² × 3¹ × 2203¹
LCM(26419,26436) = 698412684