GCF and LCM Calculator Logo

What is the Least Common Multiple of 65216 and 65228?

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 65216 and 65228 is 1063477312.

LCM(65216,65228) = 1063477312

LCM Calculator and
and

Least Common Multiple of 65216 and 65228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65216 and 65228, than apply into the LCM equation.

GCF(65216,65228) = 4
LCM(65216,65228) = ( 65216 × 65228) / 4
LCM(65216,65228) = 4253909248 / 4
LCM(65216,65228) = 1063477312

Least Common Multiple (LCM) of 65216 and 65228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65216 and 65228. First we will calculate the prime factors of 65216 and 65228.

Prime Factorization of 65216

Prime factors of 65216 are 2, 1019. Prime factorization of 65216 in exponential form is:

65216 = 26 × 10191

Prime Factorization of 65228

Prime factors of 65228 are 2, 23, 709. Prime factorization of 65228 in exponential form is:

65228 = 22 × 231 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 65216 and 65228.

LCM(65216,65228) = 26 × 10191 × 231 × 7091
LCM(65216,65228) = 1063477312