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What is the Least Common Multiple of 68321 and 68334?

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 68321 and 68334 is 4668647214.

LCM(68321,68334) = 4668647214

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Least Common Multiple of 68321 and 68334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68321 and 68334, than apply into the LCM equation.

GCF(68321,68334) = 1
LCM(68321,68334) = ( 68321 × 68334) / 1
LCM(68321,68334) = 4668647214 / 1
LCM(68321,68334) = 4668647214

Least Common Multiple (LCM) of 68321 and 68334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68321 and 68334. First we will calculate the prime factors of 68321 and 68334.

Prime Factorization of 68321

Prime factors of 68321 are 11, 6211. Prime factorization of 68321 in exponential form is:

68321 = 111 × 62111

Prime Factorization of 68334

Prime factors of 68334 are 2, 3, 7, 1627. Prime factorization of 68334 in exponential form is:

68334 = 21 × 31 × 71 × 16271

Now multiplying the highest exponent prime factors to calculate the LCM of 68321 and 68334.

LCM(68321,68334) = 111 × 62111 × 21 × 31 × 71 × 16271
LCM(68321,68334) = 4668647214