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What is the Least Common Multiple of 8158 and 8177?

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 8158 and 8177 is 66707966.

LCM(8158,8177) = 66707966

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Least Common Multiple of 8158 and 8177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8158 and 8177, than apply into the LCM equation.

GCF(8158,8177) = 1
LCM(8158,8177) = ( 8158 × 8177) / 1
LCM(8158,8177) = 66707966 / 1
LCM(8158,8177) = 66707966

Least Common Multiple (LCM) of 8158 and 8177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8158 and 8177. First we will calculate the prime factors of 8158 and 8177.

Prime Factorization of 8158

Prime factors of 8158 are 2, 4079. Prime factorization of 8158 in exponential form is:

8158 = 21 × 40791

Prime Factorization of 8177

Prime factors of 8177 are 13, 17, 37. Prime factorization of 8177 in exponential form is:

8177 = 131 × 171 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 8158 and 8177.

LCM(8158,8177) = 21 × 40791 × 131 × 171 × 371
LCM(8158,8177) = 66707966