What is the Least Common Multiple of 35069 and 35089?

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 35069 and 35089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35069 and 35089, than apply into the LCM equation.

GCF(35069,35089) = 1
LCM(35069,35089) = ( 35069 × 35089) / 1
LCM(35069,35089) = 1230536141 / 1
LCM(35069,35089) = 1230536141

Least Common Multiple (LCM) of 35069 and 35089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35069 and 35089. First we will calculate the prime factors of 35069 and 35089.

Prime Factorization of 35069

Prime Factorization of 35089

Now multiplying the highest exponent prime factors to calculate the LCM of 35069 and 35089.

LCM(35069,35089) = 35069¹ × 35089¹
LCM(35069,35089) = 1230536141