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What is the Least Common Multiple of 55275 and 55283?

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 55275 and 55283 is 3055767825.

LCM(55275,55283) = 3055767825

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Least Common Multiple of 55275 and 55283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55275 and 55283, than apply into the LCM equation.

GCF(55275,55283) = 1
LCM(55275,55283) = ( 55275 × 55283) / 1
LCM(55275,55283) = 3055767825 / 1
LCM(55275,55283) = 3055767825

Least Common Multiple (LCM) of 55275 and 55283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55275 and 55283. First we will calculate the prime factors of 55275 and 55283.

Prime Factorization of 55275

Prime factors of 55275 are 3, 5, 11, 67. Prime factorization of 55275 in exponential form is:

55275 = 31 × 52 × 111 × 671

Prime Factorization of 55283

Prime factors of 55283 are 59, 937. Prime factorization of 55283 in exponential form is:

55283 = 591 × 9371

Now multiplying the highest exponent prime factors to calculate the LCM of 55275 and 55283.

LCM(55275,55283) = 31 × 52 × 111 × 671 × 591 × 9371
LCM(55275,55283) = 3055767825