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What is the Least Common Multiple of 55418 and 55438?

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 55418 and 55438 is 1536131542.

LCM(55418,55438) = 1536131542

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Least Common Multiple of 55418 and 55438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55418 and 55438, than apply into the LCM equation.

GCF(55418,55438) = 2
LCM(55418,55438) = ( 55418 × 55438) / 2
LCM(55418,55438) = 3072263084 / 2
LCM(55418,55438) = 1536131542

Least Common Multiple (LCM) of 55418 and 55438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55418 and 55438. First we will calculate the prime factors of 55418 and 55438.

Prime Factorization of 55418

Prime factors of 55418 are 2, 11, 229. Prime factorization of 55418 in exponential form is:

55418 = 21 × 112 × 2291

Prime Factorization of 55438

Prime factors of 55438 are 2, 53, 523. Prime factorization of 55438 in exponential form is:

55438 = 21 × 531 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 55418 and 55438.

LCM(55418,55438) = 21 × 112 × 2291 × 531 × 5231
LCM(55418,55438) = 1536131542