GCF and LCM Calculator Logo

What is the Least Common Multiple of 81442 and 81460?

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 81442 and 81460 is 3317132660.

LCM(81442,81460) = 3317132660

LCM Calculator and
and

Least Common Multiple of 81442 and 81460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81442 and 81460, than apply into the LCM equation.

GCF(81442,81460) = 2
LCM(81442,81460) = ( 81442 × 81460) / 2
LCM(81442,81460) = 6634265320 / 2
LCM(81442,81460) = 3317132660

Least Common Multiple (LCM) of 81442 and 81460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81442 and 81460. First we will calculate the prime factors of 81442 and 81460.

Prime Factorization of 81442

Prime factors of 81442 are 2, 43, 947. Prime factorization of 81442 in exponential form is:

81442 = 21 × 431 × 9471

Prime Factorization of 81460

Prime factors of 81460 are 2, 5, 4073. Prime factorization of 81460 in exponential form is:

81460 = 22 × 51 × 40731

Now multiplying the highest exponent prime factors to calculate the LCM of 81442 and 81460.

LCM(81442,81460) = 22 × 431 × 9471 × 51 × 40731
LCM(81442,81460) = 3317132660