GCF and LCM Calculator Logo

What is the Least Common Multiple of 8442 and 8459?

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 8442 and 8459 is 71410878.

LCM(8442,8459) = 71410878

LCM Calculator and
and

Least Common Multiple of 8442 and 8459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8442 and 8459, than apply into the LCM equation.

GCF(8442,8459) = 1
LCM(8442,8459) = ( 8442 × 8459) / 1
LCM(8442,8459) = 71410878 / 1
LCM(8442,8459) = 71410878

Least Common Multiple (LCM) of 8442 and 8459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8442 and 8459. First we will calculate the prime factors of 8442 and 8459.

Prime Factorization of 8442

Prime factors of 8442 are 2, 3, 7, 67. Prime factorization of 8442 in exponential form is:

8442 = 21 × 32 × 71 × 671

Prime Factorization of 8459

Prime factors of 8459 are 11, 769. Prime factorization of 8459 in exponential form is:

8459 = 111 × 7691

Now multiplying the highest exponent prime factors to calculate the LCM of 8442 and 8459.

LCM(8442,8459) = 21 × 32 × 71 × 671 × 111 × 7691
LCM(8442,8459) = 71410878