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What is the Least Common Multiple of 6138 and 6158?

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 6138 and 6158 is 18898902.

LCM(6138,6158) = 18898902

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Least Common Multiple of 6138 and 6158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6138 and 6158, than apply into the LCM equation.

GCF(6138,6158) = 2
LCM(6138,6158) = ( 6138 × 6158) / 2
LCM(6138,6158) = 37797804 / 2
LCM(6138,6158) = 18898902

Least Common Multiple (LCM) of 6138 and 6158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6138 and 6158. First we will calculate the prime factors of 6138 and 6158.

Prime Factorization of 6138

Prime factors of 6138 are 2, 3, 11, 31. Prime factorization of 6138 in exponential form is:

6138 = 21 × 32 × 111 × 311

Prime Factorization of 6158

Prime factors of 6158 are 2, 3079. Prime factorization of 6158 in exponential form is:

6158 = 21 × 30791

Now multiplying the highest exponent prime factors to calculate the LCM of 6138 and 6158.

LCM(6138,6158) = 21 × 32 × 111 × 311 × 30791
LCM(6138,6158) = 18898902