What is the Least Common Multiple of 26938 and 26943?

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 26938 and 26943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26938 and 26943, than apply into the LCM equation.

GCF(26938,26943) = 1
LCM(26938,26943) = ( 26938 × 26943) / 1
LCM(26938,26943) = 725790534 / 1
LCM(26938,26943) = 725790534

Least Common Multiple (LCM) of 26938 and 26943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26938 and 26943. First we will calculate the prime factors of 26938 and 26943.

Prime Factorization of 26938

Prime Factorization of 26943

Now multiplying the highest exponent prime factors to calculate the LCM of 26938 and 26943.

LCM(26938,26943) = 2¹ × 13469¹ × 3¹ × 7¹ × 1283¹
LCM(26938,26943) = 725790534