GCF and LCM Calculator Logo

What is the Least Common Multiple of 65935 and 65945?

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 65935 and 65945 is 869616715.

LCM(65935,65945) = 869616715

LCM Calculator and
and

Least Common Multiple of 65935 and 65945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65935 and 65945, than apply into the LCM equation.

GCF(65935,65945) = 5
LCM(65935,65945) = ( 65935 × 65945) / 5
LCM(65935,65945) = 4348083575 / 5
LCM(65935,65945) = 869616715

Least Common Multiple (LCM) of 65935 and 65945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65935 and 65945. First we will calculate the prime factors of 65935 and 65945.

Prime Factorization of 65935

Prime factors of 65935 are 5, 13187. Prime factorization of 65935 in exponential form is:

65935 = 51 × 131871

Prime Factorization of 65945

Prime factors of 65945 are 5, 11, 109. Prime factorization of 65945 in exponential form is:

65945 = 51 × 112 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 65935 and 65945.

LCM(65935,65945) = 51 × 131871 × 112 × 1091
LCM(65935,65945) = 869616715