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What is the Least Common Multiple of 10068 and 10073?

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 10068 and 10073 is 101414964.

LCM(10068,10073) = 101414964

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Least Common Multiple of 10068 and 10073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10068 and 10073, than apply into the LCM equation.

GCF(10068,10073) = 1
LCM(10068,10073) = ( 10068 × 10073) / 1
LCM(10068,10073) = 101414964 / 1
LCM(10068,10073) = 101414964

Least Common Multiple (LCM) of 10068 and 10073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10068 and 10073. First we will calculate the prime factors of 10068 and 10073.

Prime Factorization of 10068

Prime factors of 10068 are 2, 3, 839. Prime factorization of 10068 in exponential form is:

10068 = 22 × 31 × 8391

Prime Factorization of 10073

Prime factors of 10073 are 7, 1439. Prime factorization of 10073 in exponential form is:

10073 = 71 × 14391

Now multiplying the highest exponent prime factors to calculate the LCM of 10068 and 10073.

LCM(10068,10073) = 22 × 31 × 8391 × 71 × 14391
LCM(10068,10073) = 101414964