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What is the Least Common Multiple of 68386 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 68386 and 68406 is 2339006358.

LCM(68386,68406) = 2339006358

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Least Common Multiple of 68386 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 68386 and 68406, than apply into the LCM equation.

GCF(68386,68406) = 2
LCM(68386,68406) = ( 68386 × 68406) / 2
LCM(68386,68406) = 4678012716 / 2
LCM(68386,68406) = 2339006358

Least Common Multiple (LCM) of 68386 and 68406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68386 and 68406. First we will calculate the prime factors of 68386 and 68406.

Prime Factorization of 68386

Prime factors of 68386 are 2, 31, 1103. Prime factorization of 68386 in exponential form is:

68386 = 21 × 311 × 11031

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 68386 and 68406.

LCM(68386,68406) = 21 × 311 × 11031 × 31 × 131 × 8771
LCM(68386,68406) = 2339006358