GCF and LCM Calculator Logo

What is the Least Common Multiple of 17531 and 17535?

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 17531 and 17535 is 307406085.

LCM(17531,17535) = 307406085

LCM Calculator and
and

Least Common Multiple of 17531 and 17535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17531 and 17535, than apply into the LCM equation.

GCF(17531,17535) = 1
LCM(17531,17535) = ( 17531 × 17535) / 1
LCM(17531,17535) = 307406085 / 1
LCM(17531,17535) = 307406085

Least Common Multiple (LCM) of 17531 and 17535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17531 and 17535. First we will calculate the prime factors of 17531 and 17535.

Prime Factorization of 17531

Prime factors of 17531 are 47, 373. Prime factorization of 17531 in exponential form is:

17531 = 471 × 3731

Prime Factorization of 17535

Prime factors of 17535 are 3, 5, 7, 167. Prime factorization of 17535 in exponential form is:

17535 = 31 × 51 × 71 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 17531 and 17535.

LCM(17531,17535) = 471 × 3731 × 31 × 51 × 71 × 1671
LCM(17531,17535) = 307406085