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What is the Least Common Multiple of 2418 and 2423?

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 2418 and 2423 is 5858814.

LCM(2418,2423) = 5858814

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Least Common Multiple of 2418 and 2423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2418 and 2423, than apply into the LCM equation.

GCF(2418,2423) = 1
LCM(2418,2423) = ( 2418 × 2423) / 1
LCM(2418,2423) = 5858814 / 1
LCM(2418,2423) = 5858814

Least Common Multiple (LCM) of 2418 and 2423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2418 and 2423. First we will calculate the prime factors of 2418 and 2423.

Prime Factorization of 2418

Prime factors of 2418 are 2, 3, 13, 31. Prime factorization of 2418 in exponential form is:

2418 = 21 × 31 × 131 × 311

Prime Factorization of 2423

Prime factors of 2423 are 2423. Prime factorization of 2423 in exponential form is:

2423 = 24231

Now multiplying the highest exponent prime factors to calculate the LCM of 2418 and 2423.

LCM(2418,2423) = 21 × 31 × 131 × 311 × 24231
LCM(2418,2423) = 5858814