GCF and LCM Calculator Logo

What is the Least Common Multiple of 81341 and 81346?

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 81341 and 81346 is 6616764986.

LCM(81341,81346) = 6616764986

LCM Calculator and
and

Least Common Multiple of 81341 and 81346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81341 and 81346, than apply into the LCM equation.

GCF(81341,81346) = 1
LCM(81341,81346) = ( 81341 × 81346) / 1
LCM(81341,81346) = 6616764986 / 1
LCM(81341,81346) = 6616764986

Least Common Multiple (LCM) of 81341 and 81346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81341 and 81346. First we will calculate the prime factors of 81341 and 81346.

Prime Factorization of 81341

Prime factors of 81341 are 13, 6257. Prime factorization of 81341 in exponential form is:

81341 = 131 × 62571

Prime Factorization of 81346

Prime factors of 81346 are 2, 89, 457. Prime factorization of 81346 in exponential form is:

81346 = 21 × 891 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 81341 and 81346.

LCM(81341,81346) = 131 × 62571 × 21 × 891 × 4571
LCM(81341,81346) = 6616764986