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What is the Least Common Multiple of 68393 and 68406?

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 68393 and 68406 is 359883966.

LCM(68393,68406) = 359883966

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Least Common Multiple of 68393 and 68406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68393 and 68406, than apply into the LCM equation.

GCF(68393,68406) = 13
LCM(68393,68406) = ( 68393 × 68406) / 13
LCM(68393,68406) = 4678491558 / 13
LCM(68393,68406) = 359883966

Least Common Multiple (LCM) of 68393 and 68406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68393 and 68406. First we will calculate the prime factors of 68393 and 68406.

Prime Factorization of 68393

Prime factors of 68393 are 13, 5261. Prime factorization of 68393 in exponential form is:

68393 = 131 × 52611

Prime Factorization of 68406

Prime factors of 68406 are 2, 3, 13, 877. Prime factorization of 68406 in exponential form is:

68406 = 21 × 31 × 131 × 8771

Now multiplying the highest exponent prime factors to calculate the LCM of 68393 and 68406.

LCM(68393,68406) = 131 × 52611 × 21 × 31 × 8771
LCM(68393,68406) = 359883966