GCF and LCM Calculator Logo

What is the Least Common Multiple of 65267 and 65281?

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 65267 and 65281 is 4260695027.

LCM(65267,65281) = 4260695027

LCM Calculator and
and

Least Common Multiple of 65267 and 65281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65267 and 65281, than apply into the LCM equation.

GCF(65267,65281) = 1
LCM(65267,65281) = ( 65267 × 65281) / 1
LCM(65267,65281) = 4260695027 / 1
LCM(65267,65281) = 4260695027

Least Common Multiple (LCM) of 65267 and 65281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65267 and 65281. First we will calculate the prime factors of 65267 and 65281.

Prime Factorization of 65267

Prime factors of 65267 are 65267. Prime factorization of 65267 in exponential form is:

65267 = 652671

Prime Factorization of 65281

Prime factors of 65281 are 97, 673. Prime factorization of 65281 in exponential form is:

65281 = 971 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 65267 and 65281.

LCM(65267,65281) = 652671 × 971 × 6731
LCM(65267,65281) = 4260695027