What is the Least Common Multiple of 39809 and 39823?

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 39809 and 39823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39809 and 39823, than apply into the LCM equation.

GCF(39809,39823) = 7
LCM(39809,39823) = ( 39809 × 39823) / 7
LCM(39809,39823) = 1585313807 / 7
LCM(39809,39823) = 226473401

Least Common Multiple (LCM) of 39809 and 39823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39809 and 39823. First we will calculate the prime factors of 39809 and 39823.

Prime Factorization of 39809

Prime Factorization of 39823

Now multiplying the highest exponent prime factors to calculate the LCM of 39809 and 39823.

LCM(39809,39823) = 7¹ × 11² × 47¹ × 5689¹
LCM(39809,39823) = 226473401