GCF and LCM Calculator Logo

What is the Least Common Multiple of 68031 and 68047?

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 68031 and 68047 is 4629305457.

LCM(68031,68047) = 4629305457

LCM Calculator and
and

Least Common Multiple of 68031 and 68047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68031 and 68047, than apply into the LCM equation.

GCF(68031,68047) = 1
LCM(68031,68047) = ( 68031 × 68047) / 1
LCM(68031,68047) = 4629305457 / 1
LCM(68031,68047) = 4629305457

Least Common Multiple (LCM) of 68031 and 68047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68031 and 68047. First we will calculate the prime factors of 68031 and 68047.

Prime Factorization of 68031

Prime factors of 68031 are 3, 7559. Prime factorization of 68031 in exponential form is:

68031 = 32 × 75591

Prime Factorization of 68047

Prime factors of 68047 are 7, 9721. Prime factorization of 68047 in exponential form is:

68047 = 71 × 97211

Now multiplying the highest exponent prime factors to calculate the LCM of 68031 and 68047.

LCM(68031,68047) = 32 × 75591 × 71 × 97211
LCM(68031,68047) = 4629305457