What is the Least Common Multiple of 35189 and 35205?

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 35189 and 35205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35189 and 35205, than apply into the LCM equation.

GCF(35189,35205) = 1
LCM(35189,35205) = ( 35189 × 35205) / 1
LCM(35189,35205) = 1238828745 / 1
LCM(35189,35205) = 1238828745

Least Common Multiple (LCM) of 35189 and 35205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35189 and 35205. First we will calculate the prime factors of 35189 and 35205.

Prime Factorization of 35189

Prime Factorization of 35205

Now multiplying the highest exponent prime factors to calculate the LCM of 35189 and 35205.

LCM(35189,35205) = 7¹ × 11¹ × 457¹ × 3¹ × 5¹ × 2347¹
LCM(35189,35205) = 1238828745