GCF and LCM Calculator Logo

What is the Least Common Multiple of 67265 and 67281?

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 67265 and 67281 is 4525656465.

LCM(67265,67281) = 4525656465

LCM Calculator and
and

Least Common Multiple of 67265 and 67281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67265 and 67281, than apply into the LCM equation.

GCF(67265,67281) = 1
LCM(67265,67281) = ( 67265 × 67281) / 1
LCM(67265,67281) = 4525656465 / 1
LCM(67265,67281) = 4525656465

Least Common Multiple (LCM) of 67265 and 67281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67265 and 67281. First we will calculate the prime factors of 67265 and 67281.

Prime Factorization of 67265

Prime factors of 67265 are 5, 11, 1223. Prime factorization of 67265 in exponential form is:

67265 = 51 × 111 × 12231

Prime Factorization of 67281

Prime factors of 67281 are 3, 41, 547. Prime factorization of 67281 in exponential form is:

67281 = 31 × 411 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 67265 and 67281.

LCM(67265,67281) = 51 × 111 × 12231 × 31 × 411 × 5471
LCM(67265,67281) = 4525656465