What is the Least Common Multiple of 26819 and 26837?

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 26819 and 26837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26819 and 26837, than apply into the LCM equation.

GCF(26819,26837) = 1
LCM(26819,26837) = ( 26819 × 26837) / 1
LCM(26819,26837) = 719741503 / 1
LCM(26819,26837) = 719741503

Least Common Multiple (LCM) of 26819 and 26837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26819 and 26837. First we will calculate the prime factors of 26819 and 26837.

Prime Factorization of 26819

Prime Factorization of 26837

Now multiplying the highest exponent prime factors to calculate the LCM of 26819 and 26837.

LCM(26819,26837) = 13¹ × 2063¹ × 47¹ × 571¹
LCM(26819,26837) = 719741503