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What is the Least Common Multiple of 68036 and 68051?

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 68036 and 68051 is 4629917836.

LCM(68036,68051) = 4629917836

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Least Common Multiple of 68036 and 68051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68036 and 68051, than apply into the LCM equation.

GCF(68036,68051) = 1
LCM(68036,68051) = ( 68036 × 68051) / 1
LCM(68036,68051) = 4629917836 / 1
LCM(68036,68051) = 4629917836

Least Common Multiple (LCM) of 68036 and 68051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68036 and 68051. First we will calculate the prime factors of 68036 and 68051.

Prime Factorization of 68036

Prime factors of 68036 are 2, 73, 233. Prime factorization of 68036 in exponential form is:

68036 = 22 × 731 × 2331

Prime Factorization of 68051

Prime factors of 68051 are 17, 4003. Prime factorization of 68051 in exponential form is:

68051 = 171 × 40031

Now multiplying the highest exponent prime factors to calculate the LCM of 68036 and 68051.

LCM(68036,68051) = 22 × 731 × 2331 × 171 × 40031
LCM(68036,68051) = 4629917836