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What is the Least Common Multiple of 68130 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 68130 and 68139 is 515812230.

LCM(68130,68139) = 515812230

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Least Common Multiple of 68130 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 68130 and 68139, than apply into the LCM equation.

GCF(68130,68139) = 9
LCM(68130,68139) = ( 68130 × 68139) / 9
LCM(68130,68139) = 4642310070 / 9
LCM(68130,68139) = 515812230

Least Common Multiple (LCM) of 68130 and 68139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68130 and 68139. First we will calculate the prime factors of 68130 and 68139.

Prime Factorization of 68130

Prime factors of 68130 are 2, 3, 5, 757. Prime factorization of 68130 in exponential form is:

68130 = 21 × 32 × 51 × 7571

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 68130 and 68139.

LCM(68130,68139) = 21 × 32 × 51 × 7571 × 671 × 1131
LCM(68130,68139) = 515812230