What is the Least Common Multiple of 26824 and 26839?

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 26824 and 26839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26824 and 26839, than apply into the LCM equation.

GCF(26824,26839) = 1
LCM(26824,26839) = ( 26824 × 26839) / 1
LCM(26824,26839) = 719929336 / 1
LCM(26824,26839) = 719929336

Least Common Multiple (LCM) of 26824 and 26839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26824 and 26839. First we will calculate the prime factors of 26824 and 26839.

Prime Factorization of 26824

Prime Factorization of 26839

Now multiplying the highest exponent prime factors to calculate the LCM of 26824 and 26839.

LCM(26824,26839) = 2³ × 7¹ × 479¹ × 26839¹
LCM(26824,26839) = 719929336