What is the Least Common Multiple of 42789 and 42806?

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 42789 and 42806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42789 and 42806, than apply into the LCM equation.

GCF(42789,42806) = 17
LCM(42789,42806) = ( 42789 × 42806) / 17
LCM(42789,42806) = 1831625934 / 17
LCM(42789,42806) = 107742702

Least Common Multiple (LCM) of 42789 and 42806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42789 and 42806. First we will calculate the prime factors of 42789 and 42806.

Prime Factorization of 42789

Prime Factorization of 42806

Now multiplying the highest exponent prime factors to calculate the LCM of 42789 and 42806.

LCM(42789,42806) = 3¹ × 17¹ × 839¹ × 2¹ × 1259¹
LCM(42789,42806) = 107742702