GCF and LCM Calculator Logo

What is the Least Common Multiple of 17545 and 17558?

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 17545 and 17558 is 308055110.

LCM(17545,17558) = 308055110

LCM Calculator and
and

Least Common Multiple of 17545 and 17558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17545 and 17558, than apply into the LCM equation.

GCF(17545,17558) = 1
LCM(17545,17558) = ( 17545 × 17558) / 1
LCM(17545,17558) = 308055110 / 1
LCM(17545,17558) = 308055110

Least Common Multiple (LCM) of 17545 and 17558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17545 and 17558. First we will calculate the prime factors of 17545 and 17558.

Prime Factorization of 17545

Prime factors of 17545 are 5, 11, 29. Prime factorization of 17545 in exponential form is:

17545 = 51 × 112 × 291

Prime Factorization of 17558

Prime factors of 17558 are 2, 8779. Prime factorization of 17558 in exponential form is:

17558 = 21 × 87791

Now multiplying the highest exponent prime factors to calculate the LCM of 17545 and 17558.

LCM(17545,17558) = 51 × 112 × 291 × 21 × 87791
LCM(17545,17558) = 308055110