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What is the Least Common Multiple of 55351 and 55360?

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 55351 and 55360 is 3064231360.

LCM(55351,55360) = 3064231360

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Least Common Multiple of 55351 and 55360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55351 and 55360, than apply into the LCM equation.

GCF(55351,55360) = 1
LCM(55351,55360) = ( 55351 × 55360) / 1
LCM(55351,55360) = 3064231360 / 1
LCM(55351,55360) = 3064231360

Least Common Multiple (LCM) of 55351 and 55360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55351 and 55360. First we will calculate the prime factors of 55351 and 55360.

Prime Factorization of 55351

Prime factors of 55351 are 55351. Prime factorization of 55351 in exponential form is:

55351 = 553511

Prime Factorization of 55360

Prime factors of 55360 are 2, 5, 173. Prime factorization of 55360 in exponential form is:

55360 = 26 × 51 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 55351 and 55360.

LCM(55351,55360) = 553511 × 26 × 51 × 1731
LCM(55351,55360) = 3064231360