GCF and LCM Calculator Logo

What is the Least Common Multiple of 35541 and 35559?

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 (LCM) of 35541 and 35559 is 140422491.

LCM(35541,35559) = 140422491

LCM Calculator and
and

Least Common Multiple of 35541 and 35559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35541 and 35559, than apply into the LCM equation.

GCF(35541,35559) = 9
LCM(35541,35559) = ( 35541 × 35559) / 9
LCM(35541,35559) = 1263802419 / 9
LCM(35541,35559) = 140422491

Least Common Multiple (LCM) of 35541 and 35559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35541 and 35559. First we will calculate the prime factors of 35541 and 35559.

Prime Factorization of 35541

Prime factors of 35541 are 3, 11, 359. Prime factorization of 35541 in exponential form is:

35541 = 32 × 111 × 3591

Prime Factorization of 35559

Prime factors of 35559 are 3, 439. Prime factorization of 35559 in exponential form is:

35559 = 34 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 35541 and 35559.

LCM(35541,35559) = 34 × 111 × 3591 × 4391
LCM(35541,35559) = 140422491