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What is the Least Common Multiple of 67807 and 67812?

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 67807 and 67812 is 4598128284.

LCM(67807,67812) = 4598128284

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Least Common Multiple of 67807 and 67812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67807 and 67812, than apply into the LCM equation.

GCF(67807,67812) = 1
LCM(67807,67812) = ( 67807 × 67812) / 1
LCM(67807,67812) = 4598128284 / 1
LCM(67807,67812) = 4598128284

Least Common Multiple (LCM) of 67807 and 67812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67807 and 67812. First we will calculate the prime factors of 67807 and 67812.

Prime Factorization of 67807

Prime factors of 67807 are 67807. Prime factorization of 67807 in exponential form is:

67807 = 678071

Prime Factorization of 67812

Prime factors of 67812 are 2, 3, 5651. Prime factorization of 67812 in exponential form is:

67812 = 22 × 31 × 56511

Now multiplying the highest exponent prime factors to calculate the LCM of 67807 and 67812.

LCM(67807,67812) = 678071 × 22 × 31 × 56511
LCM(67807,67812) = 4598128284