GCF and LCM Calculator Logo

What is the Least Common Multiple of 6499 and 6510?

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 6499 and 6510 is 42308490.

LCM(6499,6510) = 42308490

LCM Calculator and
and

Least Common Multiple of 6499 and 6510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6499 and 6510, than apply into the LCM equation.

GCF(6499,6510) = 1
LCM(6499,6510) = ( 6499 × 6510) / 1
LCM(6499,6510) = 42308490 / 1
LCM(6499,6510) = 42308490

Least Common Multiple (LCM) of 6499 and 6510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6499 and 6510. First we will calculate the prime factors of 6499 and 6510.

Prime Factorization of 6499

Prime factors of 6499 are 67, 97. Prime factorization of 6499 in exponential form is:

6499 = 671 × 971

Prime Factorization of 6510

Prime factors of 6510 are 2, 3, 5, 7, 31. Prime factorization of 6510 in exponential form is:

6510 = 21 × 31 × 51 × 71 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 6499 and 6510.

LCM(6499,6510) = 671 × 971 × 21 × 31 × 51 × 71 × 311
LCM(6499,6510) = 42308490