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What is the Least Common Multiple of 68606 and 68621?

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 68606 and 68621 is 4707812326.

LCM(68606,68621) = 4707812326

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Least Common Multiple of 68606 and 68621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68606 and 68621, than apply into the LCM equation.

GCF(68606,68621) = 1
LCM(68606,68621) = ( 68606 × 68621) / 1
LCM(68606,68621) = 4707812326 / 1
LCM(68606,68621) = 4707812326

Least Common Multiple (LCM) of 68606 and 68621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68606 and 68621. First we will calculate the prime factors of 68606 and 68621.

Prime Factorization of 68606

Prime factors of 68606 are 2, 34303. Prime factorization of 68606 in exponential form is:

68606 = 21 × 343031

Prime Factorization of 68621

Prime factors of 68621 are 7, 9803. Prime factorization of 68621 in exponential form is:

68621 = 71 × 98031

Now multiplying the highest exponent prime factors to calculate the LCM of 68606 and 68621.

LCM(68606,68621) = 21 × 343031 × 71 × 98031
LCM(68606,68621) = 4707812326