What is the Least Common Multiple of 35789 and 35799?

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 35789 and 35799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35789 and 35799, than apply into the LCM equation.

GCF(35789,35799) = 1
LCM(35789,35799) = ( 35789 × 35799) / 1
LCM(35789,35799) = 1281210411 / 1
LCM(35789,35799) = 1281210411

Least Common Multiple (LCM) of 35789 and 35799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35789 and 35799. First we will calculate the prime factors of 35789 and 35799.

Prime Factorization of 35789

Prime Factorization of 35799

Now multiplying the highest exponent prime factors to calculate the LCM of 35789 and 35799.

LCM(35789,35799) = 13¹ × 2753¹ × 3¹ × 11933¹
LCM(35789,35799) = 1281210411