What is the Least Common Multiple of 35595 and 35611?

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 35595 and 35611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35595 and 35611, than apply into the LCM equation.

GCF(35595,35611) = 1
LCM(35595,35611) = ( 35595 × 35611) / 1
LCM(35595,35611) = 1267573545 / 1
LCM(35595,35611) = 1267573545

Least Common Multiple (LCM) of 35595 and 35611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35595 and 35611. First we will calculate the prime factors of 35595 and 35611.

Prime Factorization of 35595

Prime Factorization of 35611

Now multiplying the highest exponent prime factors to calculate the LCM of 35595 and 35611.

LCM(35595,35611) = 3² × 5¹ × 7¹ × 113¹ × 149¹ × 239¹
LCM(35595,35611) = 1267573545