GCF and LCM Calculator Logo

What is the Least Common Multiple of 65455 and 65471?

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 65455 and 65471 is 4285404305.

LCM(65455,65471) = 4285404305

LCM Calculator and
and

Least Common Multiple of 65455 and 65471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65455 and 65471, than apply into the LCM equation.

GCF(65455,65471) = 1
LCM(65455,65471) = ( 65455 × 65471) / 1
LCM(65455,65471) = 4285404305 / 1
LCM(65455,65471) = 4285404305

Least Common Multiple (LCM) of 65455 and 65471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65455 and 65471. First we will calculate the prime factors of 65455 and 65471.

Prime Factorization of 65455

Prime factors of 65455 are 5, 13, 19, 53. Prime factorization of 65455 in exponential form is:

65455 = 51 × 131 × 191 × 531

Prime Factorization of 65471

Prime factors of 65471 are 7, 47, 199. Prime factorization of 65471 in exponential form is:

65471 = 71 × 471 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 65455 and 65471.

LCM(65455,65471) = 51 × 131 × 191 × 531 × 71 × 471 × 1991
LCM(65455,65471) = 4285404305