GCF and LCM Calculator Logo

What is the Least Common Multiple of 67886 and 67897?

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 67886 and 67897 is 4609255742.

LCM(67886,67897) = 4609255742

LCM Calculator and
and

Least Common Multiple of 67886 and 67897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67886 and 67897, than apply into the LCM equation.

GCF(67886,67897) = 1
LCM(67886,67897) = ( 67886 × 67897) / 1
LCM(67886,67897) = 4609255742 / 1
LCM(67886,67897) = 4609255742

Least Common Multiple (LCM) of 67886 and 67897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67886 and 67897. First we will calculate the prime factors of 67886 and 67897.

Prime Factorization of 67886

Prime factors of 67886 are 2, 7, 13, 373. Prime factorization of 67886 in exponential form is:

67886 = 21 × 71 × 131 × 3731

Prime Factorization of 67897

Prime factors of 67897 are 43, 1579. Prime factorization of 67897 in exponential form is:

67897 = 431 × 15791

Now multiplying the highest exponent prime factors to calculate the LCM of 67886 and 67897.

LCM(67886,67897) = 21 × 71 × 131 × 3731 × 431 × 15791
LCM(67886,67897) = 4609255742