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What is the Least Common Multiple of 68800 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 68800 and 68812 is 1183566400.

LCM(68800,68812) = 1183566400

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Least Common Multiple of 68800 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 68800 and 68812, than apply into the LCM equation.

GCF(68800,68812) = 4
LCM(68800,68812) = ( 68800 × 68812) / 4
LCM(68800,68812) = 4734265600 / 4
LCM(68800,68812) = 1183566400

Least Common Multiple (LCM) of 68800 and 68812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68800 and 68812. First we will calculate the prime factors of 68800 and 68812.

Prime Factorization of 68800

Prime factors of 68800 are 2, 5, 43. Prime factorization of 68800 in exponential form is:

68800 = 26 × 52 × 431

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 68800 and 68812.

LCM(68800,68812) = 26 × 52 × 431 × 172031
LCM(68800,68812) = 1183566400