GCF and LCM Calculator Logo

What is the Least Common Multiple of 15662 and 15680?

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 15662 and 15680 is 122790080.

LCM(15662,15680) = 122790080

LCM Calculator and
and

Least Common Multiple of 15662 and 15680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15662 and 15680, than apply into the LCM equation.

GCF(15662,15680) = 2
LCM(15662,15680) = ( 15662 × 15680) / 2
LCM(15662,15680) = 245580160 / 2
LCM(15662,15680) = 122790080

Least Common Multiple (LCM) of 15662 and 15680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15662 and 15680. First we will calculate the prime factors of 15662 and 15680.

Prime Factorization of 15662

Prime factors of 15662 are 2, 41, 191. Prime factorization of 15662 in exponential form is:

15662 = 21 × 411 × 1911

Prime Factorization of 15680

Prime factors of 15680 are 2, 5, 7. Prime factorization of 15680 in exponential form is:

15680 = 26 × 51 × 72

Now multiplying the highest exponent prime factors to calculate the LCM of 15662 and 15680.

LCM(15662,15680) = 26 × 411 × 1911 × 51 × 72
LCM(15662,15680) = 122790080