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What is the Least Common Multiple of 68129 and 68139?

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 68129 and 68139 is 4642241931.

LCM(68129,68139) = 4642241931

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Least Common Multiple of 68129 and 68139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68129 and 68139, than apply into the LCM equation.

GCF(68129,68139) = 1
LCM(68129,68139) = ( 68129 × 68139) / 1
LCM(68129,68139) = 4642241931 / 1
LCM(68129,68139) = 4642241931

Least Common Multiple (LCM) of 68129 and 68139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68129 and 68139. First we will calculate the prime factors of 68129 and 68139.

Prime Factorization of 68129

Prime factors of 68129 are 193, 353. Prime factorization of 68129 in exponential form is:

68129 = 1931 × 3531

Prime Factorization of 68139

Prime factors of 68139 are 3, 67, 113. Prime factorization of 68139 in exponential form is:

68139 = 32 × 671 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 68129 and 68139.

LCM(68129,68139) = 1931 × 3531 × 32 × 671 × 1131
LCM(68129,68139) = 4642241931