GCF and LCM Calculator Logo

What is the Least Common Multiple of 8137 and 8146?

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 8137 and 8146 is 66284002.

LCM(8137,8146) = 66284002

LCM Calculator and
and

Least Common Multiple of 8137 and 8146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8137 and 8146, than apply into the LCM equation.

GCF(8137,8146) = 1
LCM(8137,8146) = ( 8137 × 8146) / 1
LCM(8137,8146) = 66284002 / 1
LCM(8137,8146) = 66284002

Least Common Multiple (LCM) of 8137 and 8146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8137 and 8146. First we will calculate the prime factors of 8137 and 8146.

Prime Factorization of 8137

Prime factors of 8137 are 79, 103. Prime factorization of 8137 in exponential form is:

8137 = 791 × 1031

Prime Factorization of 8146

Prime factors of 8146 are 2, 4073. Prime factorization of 8146 in exponential form is:

8146 = 21 × 40731

Now multiplying the highest exponent prime factors to calculate the LCM of 8137 and 8146.

LCM(8137,8146) = 791 × 1031 × 21 × 40731
LCM(8137,8146) = 66284002