What is the Least Common Multiple of 41819 and 41837?

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 41819 and 41837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41819 and 41837, than apply into the LCM equation.

GCF(41819,41837) = 1
LCM(41819,41837) = ( 41819 × 41837) / 1
LCM(41819,41837) = 1749581503 / 1
LCM(41819,41837) = 1749581503

Least Common Multiple (LCM) of 41819 and 41837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41819 and 41837. First we will calculate the prime factors of 41819 and 41837.

Prime Factorization of 41819

Prime Factorization of 41837

Now multiplying the highest exponent prime factors to calculate the LCM of 41819 and 41837.

LCM(41819,41837) = 19¹ × 31¹ × 71¹ × 17¹ × 23¹ × 107¹
LCM(41819,41837) = 1749581503