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What is the Least Common Multiple of 68873 and 68892?

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 68873 and 68892 is 4744798716.

LCM(68873,68892) = 4744798716

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Least Common Multiple of 68873 and 68892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68873 and 68892, than apply into the LCM equation.

GCF(68873,68892) = 1
LCM(68873,68892) = ( 68873 × 68892) / 1
LCM(68873,68892) = 4744798716 / 1
LCM(68873,68892) = 4744798716

Least Common Multiple (LCM) of 68873 and 68892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68873 and 68892. First we will calculate the prime factors of 68873 and 68892.

Prime Factorization of 68873

Prime factors of 68873 are 7, 9839. Prime factorization of 68873 in exponential form is:

68873 = 71 × 98391

Prime Factorization of 68892

Prime factors of 68892 are 2, 3, 5741. Prime factorization of 68892 in exponential form is:

68892 = 22 × 31 × 57411

Now multiplying the highest exponent prime factors to calculate the LCM of 68873 and 68892.

LCM(68873,68892) = 71 × 98391 × 22 × 31 × 57411
LCM(68873,68892) = 4744798716