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What is the Least Common Multiple of 2406 and 2426?

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 2406 and 2426 is 2918478.

LCM(2406,2426) = 2918478

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Least Common Multiple of 2406 and 2426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2406 and 2426, than apply into the LCM equation.

GCF(2406,2426) = 2
LCM(2406,2426) = ( 2406 × 2426) / 2
LCM(2406,2426) = 5836956 / 2
LCM(2406,2426) = 2918478

Least Common Multiple (LCM) of 2406 and 2426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2406 and 2426. First we will calculate the prime factors of 2406 and 2426.

Prime Factorization of 2406

Prime factors of 2406 are 2, 3, 401. Prime factorization of 2406 in exponential form is:

2406 = 21 × 31 × 4011

Prime Factorization of 2426

Prime factors of 2426 are 2, 1213. Prime factorization of 2426 in exponential form is:

2426 = 21 × 12131

Now multiplying the highest exponent prime factors to calculate the LCM of 2406 and 2426.

LCM(2406,2426) = 21 × 31 × 4011 × 12131
LCM(2406,2426) = 2918478