GCF and LCM Calculator Logo

What is the Least Common Multiple of 7709 and 7716?

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 7709 and 7716 is 59482644.

LCM(7709,7716) = 59482644

LCM Calculator and
and

Least Common Multiple of 7709 and 7716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7709 and 7716, than apply into the LCM equation.

GCF(7709,7716) = 1
LCM(7709,7716) = ( 7709 × 7716) / 1
LCM(7709,7716) = 59482644 / 1
LCM(7709,7716) = 59482644

Least Common Multiple (LCM) of 7709 and 7716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7709 and 7716. First we will calculate the prime factors of 7709 and 7716.

Prime Factorization of 7709

Prime factors of 7709 are 13, 593. Prime factorization of 7709 in exponential form is:

7709 = 131 × 5931

Prime Factorization of 7716

Prime factors of 7716 are 2, 3, 643. Prime factorization of 7716 in exponential form is:

7716 = 22 × 31 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 7709 and 7716.

LCM(7709,7716) = 131 × 5931 × 22 × 31 × 6431
LCM(7709,7716) = 59482644