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What is the Least Common Multiple of 55375 and 55385?

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 55375 and 55385 is 613388875.

LCM(55375,55385) = 613388875

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Least Common Multiple of 55375 and 55385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55375 and 55385, than apply into the LCM equation.

GCF(55375,55385) = 5
LCM(55375,55385) = ( 55375 × 55385) / 5
LCM(55375,55385) = 3066944375 / 5
LCM(55375,55385) = 613388875

Least Common Multiple (LCM) of 55375 and 55385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55375 and 55385. First we will calculate the prime factors of 55375 and 55385.

Prime Factorization of 55375

Prime factors of 55375 are 5, 443. Prime factorization of 55375 in exponential form is:

55375 = 53 × 4431

Prime Factorization of 55385

Prime factors of 55385 are 5, 11, 19, 53. Prime factorization of 55385 in exponential form is:

55385 = 51 × 111 × 191 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 55375 and 55385.

LCM(55375,55385) = 53 × 4431 × 111 × 191 × 531
LCM(55375,55385) = 613388875