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What is the Least Common Multiple of 55432 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 55432 and 55438 is 1536519608.

LCM(55432,55438) = 1536519608

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Least Common Multiple of 55432 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 55432 and 55438, than apply into the LCM equation.

GCF(55432,55438) = 2
LCM(55432,55438) = ( 55432 × 55438) / 2
LCM(55432,55438) = 3073039216 / 2
LCM(55432,55438) = 1536519608

Least Common Multiple (LCM) of 55432 and 55438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55432 and 55438. First we will calculate the prime factors of 55432 and 55438.

Prime Factorization of 55432

Prime factors of 55432 are 2, 13, 41. Prime factorization of 55432 in exponential form is:

55432 = 23 × 132 × 411

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 55432 and 55438.

LCM(55432,55438) = 23 × 132 × 411 × 531 × 5231
LCM(55432,55438) = 1536519608