GCF and LCM Calculator Logo

What is the Least Common Multiple of 3695 and 3713?

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 3695 and 3713 is 13719535.

LCM(3695,3713) = 13719535

LCM Calculator and
and

Least Common Multiple of 3695 and 3713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3695 and 3713, than apply into the LCM equation.

GCF(3695,3713) = 1
LCM(3695,3713) = ( 3695 × 3713) / 1
LCM(3695,3713) = 13719535 / 1
LCM(3695,3713) = 13719535

Least Common Multiple (LCM) of 3695 and 3713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3695 and 3713. First we will calculate the prime factors of 3695 and 3713.

Prime Factorization of 3695

Prime factors of 3695 are 5, 739. Prime factorization of 3695 in exponential form is:

3695 = 51 × 7391

Prime Factorization of 3713

Prime factors of 3713 are 47, 79. Prime factorization of 3713 in exponential form is:

3713 = 471 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 3695 and 3713.

LCM(3695,3713) = 51 × 7391 × 471 × 791
LCM(3695,3713) = 13719535