What is the Least Common Multiple of 42879 and 42891?

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 42879 and 42891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42879 and 42891, than apply into the LCM equation.

GCF(42879,42891) = 3
LCM(42879,42891) = ( 42879 × 42891) / 3
LCM(42879,42891) = 1839123189 / 3
LCM(42879,42891) = 613041063

Least Common Multiple (LCM) of 42879 and 42891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42879 and 42891. First we will calculate the prime factors of 42879 and 42891.

Prime Factorization of 42879

Prime Factorization of 42891

Now multiplying the highest exponent prime factors to calculate the LCM of 42879 and 42891.

LCM(42879,42891) = 3¹ × 14293¹ × 17¹ × 29²
LCM(42879,42891) = 613041063