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What is the Least Common Multiple of 68809 and 68817?

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 68809 and 68817 is 4735228953.

LCM(68809,68817) = 4735228953

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Least Common Multiple of 68809 and 68817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68809 and 68817, than apply into the LCM equation.

GCF(68809,68817) = 1
LCM(68809,68817) = ( 68809 × 68817) / 1
LCM(68809,68817) = 4735228953 / 1
LCM(68809,68817) = 4735228953

Least Common Multiple (LCM) of 68809 and 68817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68809 and 68817. First we will calculate the prime factors of 68809 and 68817.

Prime Factorization of 68809

Prime factors of 68809 are 13, 67, 79. Prime factorization of 68809 in exponential form is:

68809 = 131 × 671 × 791

Prime Factorization of 68817

Prime factors of 68817 are 3, 7, 29, 113. Prime factorization of 68817 in exponential form is:

68817 = 31 × 71 × 291 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 68809 and 68817.

LCM(68809,68817) = 131 × 671 × 791 × 31 × 71 × 291 × 1131
LCM(68809,68817) = 4735228953