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What is the Least Common Multiple of 10406 and 10426?

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 10406 and 10426 is 54246478.

LCM(10406,10426) = 54246478

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Least Common Multiple of 10406 and 10426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10406 and 10426, than apply into the LCM equation.

GCF(10406,10426) = 2
LCM(10406,10426) = ( 10406 × 10426) / 2
LCM(10406,10426) = 108492956 / 2
LCM(10406,10426) = 54246478

Least Common Multiple (LCM) of 10406 and 10426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10406 and 10426. First we will calculate the prime factors of 10406 and 10426.

Prime Factorization of 10406

Prime factors of 10406 are 2, 11, 43. Prime factorization of 10406 in exponential form is:

10406 = 21 × 112 × 431

Prime Factorization of 10426

Prime factors of 10426 are 2, 13, 401. Prime factorization of 10426 in exponential form is:

10426 = 21 × 131 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 10406 and 10426.

LCM(10406,10426) = 21 × 112 × 431 × 131 × 4011
LCM(10406,10426) = 54246478