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What is the Least Common Multiple of 8142 and 8149?

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 8142 and 8149 is 66349158.

LCM(8142,8149) = 66349158

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Least Common Multiple of 8142 and 8149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8142 and 8149, than apply into the LCM equation.

GCF(8142,8149) = 1
LCM(8142,8149) = ( 8142 × 8149) / 1
LCM(8142,8149) = 66349158 / 1
LCM(8142,8149) = 66349158

Least Common Multiple (LCM) of 8142 and 8149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8142 and 8149. First we will calculate the prime factors of 8142 and 8149.

Prime Factorization of 8142

Prime factors of 8142 are 2, 3, 23, 59. Prime factorization of 8142 in exponential form is:

8142 = 21 × 31 × 231 × 591

Prime Factorization of 8149

Prime factors of 8149 are 29, 281. Prime factorization of 8149 in exponential form is:

8149 = 291 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 8142 and 8149.

LCM(8142,8149) = 21 × 31 × 231 × 591 × 291 × 2811
LCM(8142,8149) = 66349158