What is the Least Common Multiple of 42819 and 42837?

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 42819 and 42837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42819 and 42837, than apply into the LCM equation.

GCF(42819,42837) = 3
LCM(42819,42837) = ( 42819 × 42837) / 3
LCM(42819,42837) = 1834237503 / 3
LCM(42819,42837) = 611412501

Least Common Multiple (LCM) of 42819 and 42837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42819 and 42837. First we will calculate the prime factors of 42819 and 42837.

Prime Factorization of 42819

Prime Factorization of 42837

Now multiplying the highest exponent prime factors to calculate the LCM of 42819 and 42837.

LCM(42819,42837) = 3¹ × 7¹ × 2039¹ × 109¹ × 131¹
LCM(42819,42837) = 611412501