GCF and LCM Calculator Logo

What is the Least Common Multiple of 27517 and 27535?

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 27517 and 27535 is 757680595.

LCM(27517,27535) = 757680595

LCM Calculator and
and

Least Common Multiple of 27517 and 27535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27517 and 27535, than apply into the LCM equation.

GCF(27517,27535) = 1
LCM(27517,27535) = ( 27517 × 27535) / 1
LCM(27517,27535) = 757680595 / 1
LCM(27517,27535) = 757680595

Least Common Multiple (LCM) of 27517 and 27535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27517 and 27535. First we will calculate the prime factors of 27517 and 27535.

Prime Factorization of 27517

Prime factors of 27517 are 7, 3931. Prime factorization of 27517 in exponential form is:

27517 = 71 × 39311

Prime Factorization of 27535

Prime factors of 27535 are 5, 5507. Prime factorization of 27535 in exponential form is:

27535 = 51 × 55071

Now multiplying the highest exponent prime factors to calculate the LCM of 27517 and 27535.

LCM(27517,27535) = 71 × 39311 × 51 × 55071
LCM(27517,27535) = 757680595