What is the Least Common Multiple of 42806 and 42823?

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 42806 and 42823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42806 and 42823, than apply into the LCM equation.

GCF(42806,42823) = 17
LCM(42806,42823) = ( 42806 × 42823) / 17
LCM(42806,42823) = 1833081338 / 17
LCM(42806,42823) = 107828314

Least Common Multiple (LCM) of 42806 and 42823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42806 and 42823. First we will calculate the prime factors of 42806 and 42823.

Prime Factorization of 42806

Prime Factorization of 42823

Now multiplying the highest exponent prime factors to calculate the LCM of 42806 and 42823.

LCM(42806,42823) = 2¹ × 17¹ × 1259¹ × 11¹ × 229¹
LCM(42806,42823) = 107828314