GCF and LCM Calculator Logo

What is the Least Common Multiple of 65824 and 65832?

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 65824 and 65832 is 541665696.

LCM(65824,65832) = 541665696

LCM Calculator and
and

Least Common Multiple of 65824 and 65832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65824 and 65832, than apply into the LCM equation.

GCF(65824,65832) = 8
LCM(65824,65832) = ( 65824 × 65832) / 8
LCM(65824,65832) = 4333325568 / 8
LCM(65824,65832) = 541665696

Least Common Multiple (LCM) of 65824 and 65832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65824 and 65832. First we will calculate the prime factors of 65824 and 65832.

Prime Factorization of 65824

Prime factors of 65824 are 2, 11, 17. Prime factorization of 65824 in exponential form is:

65824 = 25 × 112 × 171

Prime Factorization of 65832

Prime factors of 65832 are 2, 3, 13, 211. Prime factorization of 65832 in exponential form is:

65832 = 23 × 31 × 131 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 65824 and 65832.

LCM(65824,65832) = 25 × 112 × 171 × 31 × 131 × 2111
LCM(65824,65832) = 541665696