GCF and LCM Calculator Logo

What is the Least Common Multiple of 65409 and 65418?

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 65409 and 65418 is 1426308654.

LCM(65409,65418) = 1426308654

LCM Calculator and
and

Least Common Multiple of 65409 and 65418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65409 and 65418, than apply into the LCM equation.

GCF(65409,65418) = 3
LCM(65409,65418) = ( 65409 × 65418) / 3
LCM(65409,65418) = 4278925962 / 3
LCM(65409,65418) = 1426308654

Least Common Multiple (LCM) of 65409 and 65418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65409 and 65418. First we will calculate the prime factors of 65409 and 65418.

Prime Factorization of 65409

Prime factors of 65409 are 3, 21803. Prime factorization of 65409 in exponential form is:

65409 = 31 × 218031

Prime Factorization of 65418

Prime factors of 65418 are 2, 3, 10903. Prime factorization of 65418 in exponential form is:

65418 = 21 × 31 × 109031

Now multiplying the highest exponent prime factors to calculate the LCM of 65409 and 65418.

LCM(65409,65418) = 31 × 218031 × 21 × 109031
LCM(65409,65418) = 1426308654