GCF and LCM Calculator Logo

What is the Least Common Multiple of 81358 and 81371?

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 81358 and 81371 is 6620181818.

LCM(81358,81371) = 6620181818

LCM Calculator and
and

Least Common Multiple of 81358 and 81371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81358 and 81371, than apply into the LCM equation.

GCF(81358,81371) = 1
LCM(81358,81371) = ( 81358 × 81371) / 1
LCM(81358,81371) = 6620181818 / 1
LCM(81358,81371) = 6620181818

Least Common Multiple (LCM) of 81358 and 81371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81358 and 81371. First we will calculate the prime factors of 81358 and 81371.

Prime Factorization of 81358

Prime factors of 81358 are 2, 19, 2141. Prime factorization of 81358 in exponential form is:

81358 = 21 × 191 × 21411

Prime Factorization of 81371

Prime factors of 81371 are 81371. Prime factorization of 81371 in exponential form is:

81371 = 813711

Now multiplying the highest exponent prime factors to calculate the LCM of 81358 and 81371.

LCM(81358,81371) = 21 × 191 × 21411 × 813711
LCM(81358,81371) = 6620181818