GCF and LCM Calculator Logo

What is the Least Common Multiple of 65560 and 65568?

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 65560 and 65568 is 537329760.

LCM(65560,65568) = 537329760

LCM Calculator and
and

Least Common Multiple of 65560 and 65568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65560 and 65568, than apply into the LCM equation.

GCF(65560,65568) = 8
LCM(65560,65568) = ( 65560 × 65568) / 8
LCM(65560,65568) = 4298638080 / 8
LCM(65560,65568) = 537329760

Least Common Multiple (LCM) of 65560 and 65568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65560 and 65568. First we will calculate the prime factors of 65560 and 65568.

Prime Factorization of 65560

Prime factors of 65560 are 2, 5, 11, 149. Prime factorization of 65560 in exponential form is:

65560 = 23 × 51 × 111 × 1491

Prime Factorization of 65568

Prime factors of 65568 are 2, 3, 683. Prime factorization of 65568 in exponential form is:

65568 = 25 × 31 × 6831

Now multiplying the highest exponent prime factors to calculate the LCM of 65560 and 65568.

LCM(65560,65568) = 25 × 51 × 111 × 1491 × 31 × 6831
LCM(65560,65568) = 537329760