GCF and LCM Calculator Logo

What is the Least Common Multiple of 67381 and 67386?

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 67381 and 67386 is 4540536066.

LCM(67381,67386) = 4540536066

LCM Calculator and
and

Least Common Multiple of 67381 and 67386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67381 and 67386, than apply into the LCM equation.

GCF(67381,67386) = 1
LCM(67381,67386) = ( 67381 × 67386) / 1
LCM(67381,67386) = 4540536066 / 1
LCM(67381,67386) = 4540536066

Least Common Multiple (LCM) of 67381 and 67386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67381 and 67386. First we will calculate the prime factors of 67381 and 67386.

Prime Factorization of 67381

Prime factors of 67381 are 43, 1567. Prime factorization of 67381 in exponential form is:

67381 = 431 × 15671

Prime Factorization of 67386

Prime factors of 67386 are 2, 3, 11, 1021. Prime factorization of 67386 in exponential form is:

67386 = 21 × 31 × 111 × 10211

Now multiplying the highest exponent prime factors to calculate the LCM of 67381 and 67386.

LCM(67381,67386) = 431 × 15671 × 21 × 31 × 111 × 10211
LCM(67381,67386) = 4540536066