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What is the Least Common Multiple of 55344 and 55355?

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 55344 and 55355 is 3063567120.

LCM(55344,55355) = 3063567120

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Least Common Multiple of 55344 and 55355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55344 and 55355, than apply into the LCM equation.

GCF(55344,55355) = 1
LCM(55344,55355) = ( 55344 × 55355) / 1
LCM(55344,55355) = 3063567120 / 1
LCM(55344,55355) = 3063567120

Least Common Multiple (LCM) of 55344 and 55355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55344 and 55355. First we will calculate the prime factors of 55344 and 55355.

Prime Factorization of 55344

Prime factors of 55344 are 2, 3, 1153. Prime factorization of 55344 in exponential form is:

55344 = 24 × 31 × 11531

Prime Factorization of 55355

Prime factors of 55355 are 5, 11071. Prime factorization of 55355 in exponential form is:

55355 = 51 × 110711

Now multiplying the highest exponent prime factors to calculate the LCM of 55344 and 55355.

LCM(55344,55355) = 24 × 31 × 11531 × 51 × 110711
LCM(55344,55355) = 3063567120