What is the Least Common Multiple of 26919 and 26939?

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 26919 and 26939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26919 and 26939, than apply into the LCM equation.

GCF(26919,26939) = 1
LCM(26919,26939) = ( 26919 × 26939) / 1
LCM(26919,26939) = 725170941 / 1
LCM(26919,26939) = 725170941

Least Common Multiple (LCM) of 26919 and 26939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26919 and 26939. First we will calculate the prime factors of 26919 and 26939.

Prime Factorization of 26919

Prime Factorization of 26939

Now multiplying the highest exponent prime factors to calculate the LCM of 26919 and 26939.

LCM(26919,26939) = 3³ × 997¹ × 11¹ × 31¹ × 79¹
LCM(26919,26939) = 725170941