GCF and LCM Calculator Logo

What is the Least Common Multiple of 67263 and 67268?

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 67263 and 67268 is 4524647484.

LCM(67263,67268) = 4524647484

LCM Calculator and
and

Least Common Multiple of 67263 and 67268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67263 and 67268, than apply into the LCM equation.

GCF(67263,67268) = 1
LCM(67263,67268) = ( 67263 × 67268) / 1
LCM(67263,67268) = 4524647484 / 1
LCM(67263,67268) = 4524647484

Least Common Multiple (LCM) of 67263 and 67268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67263 and 67268. First we will calculate the prime factors of 67263 and 67268.

Prime Factorization of 67263

Prime factors of 67263 are 3, 7, 3203. Prime factorization of 67263 in exponential form is:

67263 = 31 × 71 × 32031

Prime Factorization of 67268

Prime factors of 67268 are 2, 67, 251. Prime factorization of 67268 in exponential form is:

67268 = 22 × 671 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 67263 and 67268.

LCM(67263,67268) = 31 × 71 × 32031 × 22 × 671 × 2511
LCM(67263,67268) = 4524647484