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What is the Least Common Multiple of 68040 and 68059?

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 68040 and 68059 is 4630734360.

LCM(68040,68059) = 4630734360

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Least Common Multiple of 68040 and 68059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68040 and 68059, than apply into the LCM equation.

GCF(68040,68059) = 1
LCM(68040,68059) = ( 68040 × 68059) / 1
LCM(68040,68059) = 4630734360 / 1
LCM(68040,68059) = 4630734360

Least Common Multiple (LCM) of 68040 and 68059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68040 and 68059. First we will calculate the prime factors of 68040 and 68059.

Prime Factorization of 68040

Prime factors of 68040 are 2, 3, 5, 7. Prime factorization of 68040 in exponential form is:

68040 = 23 × 35 × 51 × 71

Prime Factorization of 68059

Prime factors of 68059 are 68059. Prime factorization of 68059 in exponential form is:

68059 = 680591

Now multiplying the highest exponent prime factors to calculate the LCM of 68040 and 68059.

LCM(68040,68059) = 23 × 35 × 51 × 71 × 680591
LCM(68040,68059) = 4630734360