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What is the Least Common Multiple of 68132 and 68142?

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 68132 and 68142 is 2321325372.

LCM(68132,68142) = 2321325372

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Least Common Multiple of 68132 and 68142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68132 and 68142, than apply into the LCM equation.

GCF(68132,68142) = 2
LCM(68132,68142) = ( 68132 × 68142) / 2
LCM(68132,68142) = 4642650744 / 2
LCM(68132,68142) = 2321325372

Least Common Multiple (LCM) of 68132 and 68142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68132 and 68142. First we will calculate the prime factors of 68132 and 68142.

Prime Factorization of 68132

Prime factors of 68132 are 2, 17033. Prime factorization of 68132 in exponential form is:

68132 = 22 × 170331

Prime Factorization of 68142

Prime factors of 68142 are 2, 3, 41, 277. Prime factorization of 68142 in exponential form is:

68142 = 21 × 31 × 411 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 68132 and 68142.

LCM(68132,68142) = 22 × 170331 × 31 × 411 × 2771
LCM(68132,68142) = 2321325372