GCF and LCM Calculator Logo

What is the Least Common Multiple of 65523 and 65536?

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 65523 and 65536 is 4294115328.

LCM(65523,65536) = 4294115328

LCM Calculator and
and

Least Common Multiple of 65523 and 65536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65523 and 65536, than apply into the LCM equation.

GCF(65523,65536) = 1
LCM(65523,65536) = ( 65523 × 65536) / 1
LCM(65523,65536) = 4294115328 / 1
LCM(65523,65536) = 4294115328

Least Common Multiple (LCM) of 65523 and 65536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65523 and 65536. First we will calculate the prime factors of 65523 and 65536.

Prime Factorization of 65523

Prime factors of 65523 are 3, 21841. Prime factorization of 65523 in exponential form is:

65523 = 31 × 218411

Prime Factorization of 65536

Prime factors of 65536 are 2. Prime factorization of 65536 in exponential form is:

65536 = 216

Now multiplying the highest exponent prime factors to calculate the LCM of 65523 and 65536.

LCM(65523,65536) = 31 × 218411 × 216
LCM(65523,65536) = 4294115328