GCF and LCM Calculator Logo

What is the Least Common Multiple of 8142 and 8162?

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 8142 and 8162 is 33227502.

LCM(8142,8162) = 33227502

LCM Calculator and
and

Least Common Multiple of 8142 and 8162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8142 and 8162, than apply into the LCM equation.

GCF(8142,8162) = 2
LCM(8142,8162) = ( 8142 × 8162) / 2
LCM(8142,8162) = 66455004 / 2
LCM(8142,8162) = 33227502

Least Common Multiple (LCM) of 8142 and 8162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8142 and 8162. First we will calculate the prime factors of 8142 and 8162.

Prime Factorization of 8142

Prime factors of 8142 are 2, 3, 23, 59. Prime factorization of 8142 in exponential form is:

8142 = 21 × 31 × 231 × 591

Prime Factorization of 8162

Prime factors of 8162 are 2, 7, 11, 53. Prime factorization of 8162 in exponential form is:

8162 = 21 × 71 × 111 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 8142 and 8162.

LCM(8142,8162) = 21 × 31 × 231 × 591 × 71 × 111 × 531
LCM(8142,8162) = 33227502