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What is the Least Common Multiple of 68801 and 68812?

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 68801 and 68812 is 4734334412.

LCM(68801,68812) = 4734334412

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Least Common Multiple of 68801 and 68812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68801 and 68812, than apply into the LCM equation.

GCF(68801,68812) = 1
LCM(68801,68812) = ( 68801 × 68812) / 1
LCM(68801,68812) = 4734334412 / 1
LCM(68801,68812) = 4734334412

Least Common Multiple (LCM) of 68801 and 68812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68801 and 68812. First we will calculate the prime factors of 68801 and 68812.

Prime Factorization of 68801

Prime factors of 68801 are 107, 643. Prime factorization of 68801 in exponential form is:

68801 = 1071 × 6431

Prime Factorization of 68812

Prime factors of 68812 are 2, 17203. Prime factorization of 68812 in exponential form is:

68812 = 22 × 172031

Now multiplying the highest exponent prime factors to calculate the LCM of 68801 and 68812.

LCM(68801,68812) = 1071 × 6431 × 22 × 172031
LCM(68801,68812) = 4734334412