GCF and LCM Calculator Logo

What is the Least Common Multiple of 67971 and 67981?

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 67971 and 67981 is 4620736551.

LCM(67971,67981) = 4620736551

LCM Calculator and
and

Least Common Multiple of 67971 and 67981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67971 and 67981, than apply into the LCM equation.

GCF(67971,67981) = 1
LCM(67971,67981) = ( 67971 × 67981) / 1
LCM(67971,67981) = 4620736551 / 1
LCM(67971,67981) = 4620736551

Least Common Multiple (LCM) of 67971 and 67981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67971 and 67981. First we will calculate the prime factors of 67971 and 67981.

Prime Factorization of 67971

Prime factors of 67971 are 3, 139, 163. Prime factorization of 67971 in exponential form is:

67971 = 31 × 1391 × 1631

Prime Factorization of 67981

Prime factors of 67981 are 157, 433. Prime factorization of 67981 in exponential form is:

67981 = 1571 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 67971 and 67981.

LCM(67971,67981) = 31 × 1391 × 1631 × 1571 × 4331
LCM(67971,67981) = 4620736551