What is the Least Common Multiple of 45819 and 45837?

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 45819 and 45837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45819 and 45837, than apply into the LCM equation.

GCF(45819,45837) = 9
LCM(45819,45837) = ( 45819 × 45837) / 9
LCM(45819,45837) = 2100205503 / 9
LCM(45819,45837) = 233356167

Least Common Multiple (LCM) of 45819 and 45837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45819 and 45837. First we will calculate the prime factors of 45819 and 45837.

Prime Factorization of 45819

Prime Factorization of 45837

Now multiplying the highest exponent prime factors to calculate the LCM of 45819 and 45837.

LCM(45819,45837) = 3³ × 1697¹ × 11¹ × 463¹
LCM(45819,45837) = 233356167