GCF and LCM Calculator Logo

What is the Least Common Multiple of 66497 and 66513?

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 66497 and 66513 is 4422914961.

LCM(66497,66513) = 4422914961

LCM Calculator and
and

Least Common Multiple of 66497 and 66513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66497 and 66513, than apply into the LCM equation.

GCF(66497,66513) = 1
LCM(66497,66513) = ( 66497 × 66513) / 1
LCM(66497,66513) = 4422914961 / 1
LCM(66497,66513) = 4422914961

Least Common Multiple (LCM) of 66497 and 66513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66497 and 66513. First we will calculate the prime factors of 66497 and 66513.

Prime Factorization of 66497

Prime factors of 66497 are 29, 2293. Prime factorization of 66497 in exponential form is:

66497 = 291 × 22931

Prime Factorization of 66513

Prime factors of 66513 are 3, 22171. Prime factorization of 66513 in exponential form is:

66513 = 31 × 221711

Now multiplying the highest exponent prime factors to calculate the LCM of 66497 and 66513.

LCM(66497,66513) = 291 × 22931 × 31 × 221711
LCM(66497,66513) = 4422914961