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What is the Least Common Multiple of 55415 and 55431?

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 55415 and 55431 is 3071708865.

LCM(55415,55431) = 3071708865

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Least Common Multiple of 55415 and 55431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55415 and 55431, than apply into the LCM equation.

GCF(55415,55431) = 1
LCM(55415,55431) = ( 55415 × 55431) / 1
LCM(55415,55431) = 3071708865 / 1
LCM(55415,55431) = 3071708865

Least Common Multiple (LCM) of 55415 and 55431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55415 and 55431. First we will calculate the prime factors of 55415 and 55431.

Prime Factorization of 55415

Prime factors of 55415 are 5, 11083. Prime factorization of 55415 in exponential form is:

55415 = 51 × 110831

Prime Factorization of 55431

Prime factors of 55431 are 3, 2053. Prime factorization of 55431 in exponential form is:

55431 = 33 × 20531

Now multiplying the highest exponent prime factors to calculate the LCM of 55415 and 55431.

LCM(55415,55431) = 51 × 110831 × 33 × 20531
LCM(55415,55431) = 3071708865