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What is the Least Common Multiple of 68481 and 68494?

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 68481 and 68494 is 4690537614.

LCM(68481,68494) = 4690537614

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Least Common Multiple of 68481 and 68494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68481 and 68494, than apply into the LCM equation.

GCF(68481,68494) = 1
LCM(68481,68494) = ( 68481 × 68494) / 1
LCM(68481,68494) = 4690537614 / 1
LCM(68481,68494) = 4690537614

Least Common Multiple (LCM) of 68481 and 68494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68481 and 68494. First we will calculate the prime factors of 68481 and 68494.

Prime Factorization of 68481

Prime factors of 68481 are 3, 7, 1087. Prime factorization of 68481 in exponential form is:

68481 = 32 × 71 × 10871

Prime Factorization of 68494

Prime factors of 68494 are 2, 23, 1489. Prime factorization of 68494 in exponential form is:

68494 = 21 × 231 × 14891

Now multiplying the highest exponent prime factors to calculate the LCM of 68481 and 68494.

LCM(68481,68494) = 32 × 71 × 10871 × 21 × 231 × 14891
LCM(68481,68494) = 4690537614