GCF and LCM Calculator Logo

What is the Least Common Multiple of 65506 and 65510?

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 65506 and 65510 is 2145649030.

LCM(65506,65510) = 2145649030

LCM Calculator and
and

Least Common Multiple of 65506 and 65510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65506 and 65510, than apply into the LCM equation.

GCF(65506,65510) = 2
LCM(65506,65510) = ( 65506 × 65510) / 2
LCM(65506,65510) = 4291298060 / 2
LCM(65506,65510) = 2145649030

Least Common Multiple (LCM) of 65506 and 65510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65506 and 65510. First we will calculate the prime factors of 65506 and 65510.

Prime Factorization of 65506

Prime factors of 65506 are 2, 7, 4679. Prime factorization of 65506 in exponential form is:

65506 = 21 × 71 × 46791

Prime Factorization of 65510

Prime factors of 65510 are 2, 5, 6551. Prime factorization of 65510 in exponential form is:

65510 = 21 × 51 × 65511

Now multiplying the highest exponent prime factors to calculate the LCM of 65506 and 65510.

LCM(65506,65510) = 21 × 71 × 46791 × 51 × 65511
LCM(65506,65510) = 2145649030