GCF and LCM Calculator Logo

What is the Least Common Multiple of 65680 and 65684?

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 65680 and 65684 is 1078531280.

LCM(65680,65684) = 1078531280

LCM Calculator and
and

Least Common Multiple of 65680 and 65684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65680 and 65684, than apply into the LCM equation.

GCF(65680,65684) = 4
LCM(65680,65684) = ( 65680 × 65684) / 4
LCM(65680,65684) = 4314125120 / 4
LCM(65680,65684) = 1078531280

Least Common Multiple (LCM) of 65680 and 65684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65680 and 65684. First we will calculate the prime factors of 65680 and 65684.

Prime Factorization of 65680

Prime factors of 65680 are 2, 5, 821. Prime factorization of 65680 in exponential form is:

65680 = 24 × 51 × 8211

Prime Factorization of 65684

Prime factors of 65684 are 2, 16421. Prime factorization of 65684 in exponential form is:

65684 = 22 × 164211

Now multiplying the highest exponent prime factors to calculate the LCM of 65680 and 65684.

LCM(65680,65684) = 24 × 51 × 8211 × 164211
LCM(65680,65684) = 1078531280