What is the Least Common Multiple of 35806 and 35823?

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 35806 and 35823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35806 and 35823, than apply into the LCM equation.

GCF(35806,35823) = 1
LCM(35806,35823) = ( 35806 × 35823) / 1
LCM(35806,35823) = 1282678338 / 1
LCM(35806,35823) = 1282678338

Least Common Multiple (LCM) of 35806 and 35823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35806 and 35823. First we will calculate the prime factors of 35806 and 35823.

Prime Factorization of 35806

Prime Factorization of 35823

Now multiplying the highest exponent prime factors to calculate the LCM of 35806 and 35823.

LCM(35806,35823) = 2¹ × 17903¹ × 3¹ × 11941¹
LCM(35806,35823) = 1282678338