What is the Least Common Multiple of 26919 and 26933?

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 26933 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 26933, than apply into the LCM equation.

GCF(26919,26933) = 1
LCM(26919,26933) = ( 26919 × 26933) / 1
LCM(26919,26933) = 725009427 / 1
LCM(26919,26933) = 725009427

Least Common Multiple (LCM) of 26919 and 26933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26919 and 26933. First we will calculate the prime factors of 26919 and 26933.

Prime Factorization of 26919

Prime Factorization of 26933

Now multiplying the highest exponent prime factors to calculate the LCM of 26919 and 26933.

LCM(26919,26933) = 3³ × 997¹ × 23¹ × 1171¹
LCM(26919,26933) = 725009427