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What is the Least Common Multiple of 8140 and 8158?

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 8140 and 8158 is 33203060.

LCM(8140,8158) = 33203060

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Least Common Multiple of 8140 and 8158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8140 and 8158, than apply into the LCM equation.

GCF(8140,8158) = 2
LCM(8140,8158) = ( 8140 × 8158) / 2
LCM(8140,8158) = 66406120 / 2
LCM(8140,8158) = 33203060

Least Common Multiple (LCM) of 8140 and 8158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8140 and 8158. First we will calculate the prime factors of 8140 and 8158.

Prime Factorization of 8140

Prime factors of 8140 are 2, 5, 11, 37. Prime factorization of 8140 in exponential form is:

8140 = 22 × 51 × 111 × 371

Prime Factorization of 8158

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

8158 = 21 × 40791

Now multiplying the highest exponent prime factors to calculate the LCM of 8140 and 8158.

LCM(8140,8158) = 22 × 51 × 111 × 371 × 40791
LCM(8140,8158) = 33203060