GCF and LCM Calculator Logo

What is the Least Common Multiple of 65516 and 65534?

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 65516 and 65534 is 2146762772.

LCM(65516,65534) = 2146762772

LCM Calculator and
and

Least Common Multiple of 65516 and 65534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65516 and 65534, than apply into the LCM equation.

GCF(65516,65534) = 2
LCM(65516,65534) = ( 65516 × 65534) / 2
LCM(65516,65534) = 4293525544 / 2
LCM(65516,65534) = 2146762772

Least Common Multiple (LCM) of 65516 and 65534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65516 and 65534. First we will calculate the prime factors of 65516 and 65534.

Prime Factorization of 65516

Prime factors of 65516 are 2, 11, 1489. Prime factorization of 65516 in exponential form is:

65516 = 22 × 111 × 14891

Prime Factorization of 65534

Prime factors of 65534 are 2, 7, 31, 151. Prime factorization of 65534 in exponential form is:

65534 = 21 × 71 × 311 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 65516 and 65534.

LCM(65516,65534) = 22 × 111 × 14891 × 71 × 311 × 1511
LCM(65516,65534) = 2146762772