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What is the Least Common Multiple of 67809 and 67813?

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 67809 and 67813 is 4598331717.

LCM(67809,67813) = 4598331717

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Least Common Multiple of 67809 and 67813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67809 and 67813, than apply into the LCM equation.

GCF(67809,67813) = 1
LCM(67809,67813) = ( 67809 × 67813) / 1
LCM(67809,67813) = 4598331717 / 1
LCM(67809,67813) = 4598331717

Least Common Multiple (LCM) of 67809 and 67813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67809 and 67813. First we will calculate the prime factors of 67809 and 67813.

Prime Factorization of 67809

Prime factors of 67809 are 3, 7, 3229. Prime factorization of 67809 in exponential form is:

67809 = 31 × 71 × 32291

Prime Factorization of 67813

Prime factors of 67813 are 17, 3989. Prime factorization of 67813 in exponential form is:

67813 = 171 × 39891

Now multiplying the highest exponent prime factors to calculate the LCM of 67809 and 67813.

LCM(67809,67813) = 31 × 71 × 32291 × 171 × 39891
LCM(67809,67813) = 4598331717