GCF and LCM Calculator Logo

What is the Least Common Multiple of 7695 and 7700?

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 7695 and 7700 is 11850300.

LCM(7695,7700) = 11850300

LCM Calculator and
and

Least Common Multiple of 7695 and 7700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7695 and 7700, than apply into the LCM equation.

GCF(7695,7700) = 5
LCM(7695,7700) = ( 7695 × 7700) / 5
LCM(7695,7700) = 59251500 / 5
LCM(7695,7700) = 11850300

Least Common Multiple (LCM) of 7695 and 7700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7695 and 7700. First we will calculate the prime factors of 7695 and 7700.

Prime Factorization of 7695

Prime factors of 7695 are 3, 5, 19. Prime factorization of 7695 in exponential form is:

7695 = 34 × 51 × 191

Prime Factorization of 7700

Prime factors of 7700 are 2, 5, 7, 11. Prime factorization of 7700 in exponential form is:

7700 = 22 × 52 × 71 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 7695 and 7700.

LCM(7695,7700) = 34 × 52 × 191 × 22 × 71 × 111
LCM(7695,7700) = 11850300