What is the Least Common Multiple of 69819 and 69837?

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 69819 and 69837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69819 and 69837, than apply into the LCM equation.

GCF(69819,69837) = 3
LCM(69819,69837) = ( 69819 × 69837) / 3
LCM(69819,69837) = 4875949503 / 3
LCM(69819,69837) = 1625316501

Least Common Multiple (LCM) of 69819 and 69837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69819 and 69837. First we will calculate the prime factors of 69819 and 69837.

Prime Factorization of 69819

Prime Factorization of 69837

Now multiplying the highest exponent prime factors to calculate the LCM of 69819 and 69837.

LCM(69819,69837) = 3¹ × 17¹ × 37² × 23279¹
LCM(69819,69837) = 1625316501