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What is the Least Common Multiple of 67146 and 67158?

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 67146 and 67158 is 751565178.

LCM(67146,67158) = 751565178

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Least Common Multiple of 67146 and 67158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67146 and 67158, than apply into the LCM equation.

GCF(67146,67158) = 6
LCM(67146,67158) = ( 67146 × 67158) / 6
LCM(67146,67158) = 4509391068 / 6
LCM(67146,67158) = 751565178

Least Common Multiple (LCM) of 67146 and 67158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67146 and 67158. First we will calculate the prime factors of 67146 and 67158.

Prime Factorization of 67146

Prime factors of 67146 are 2, 3, 19, 31. Prime factorization of 67146 in exponential form is:

67146 = 21 × 31 × 192 × 311

Prime Factorization of 67158

Prime factors of 67158 are 2, 3, 7, 13, 41. Prime factorization of 67158 in exponential form is:

67158 = 21 × 32 × 71 × 131 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 67146 and 67158.

LCM(67146,67158) = 21 × 32 × 192 × 311 × 71 × 131 × 411
LCM(67146,67158) = 751565178