GCF and LCM Calculator Logo

What is the Least Common Multiple of 68507 and 68513?

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 68507 and 68513 is 4693620091.

LCM(68507,68513) = 4693620091

LCM Calculator and
and

Least Common Multiple of 68507 and 68513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68507 and 68513, than apply into the LCM equation.

GCF(68507,68513) = 1
LCM(68507,68513) = ( 68507 × 68513) / 1
LCM(68507,68513) = 4693620091 / 1
LCM(68507,68513) = 4693620091

Least Common Multiple (LCM) of 68507 and 68513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68507 and 68513. First we will calculate the prime factors of 68507 and 68513.

Prime Factorization of 68507

Prime factors of 68507 are 68507. Prime factorization of 68507 in exponential form is:

68507 = 685071

Prime Factorization of 68513

Prime factors of 68513 are 131, 523. Prime factorization of 68513 in exponential form is:

68513 = 1311 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 68507 and 68513.

LCM(68507,68513) = 685071 × 1311 × 5231
LCM(68507,68513) = 4693620091