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What is the Least Common Multiple of 55475 and 55485?

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 55475 and 55485 is 615606075.

LCM(55475,55485) = 615606075

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Least Common Multiple of 55475 and 55485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55475 and 55485, than apply into the LCM equation.

GCF(55475,55485) = 5
LCM(55475,55485) = ( 55475 × 55485) / 5
LCM(55475,55485) = 3078030375 / 5
LCM(55475,55485) = 615606075

Least Common Multiple (LCM) of 55475 and 55485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55475 and 55485. First we will calculate the prime factors of 55475 and 55485.

Prime Factorization of 55475

Prime factors of 55475 are 5, 7, 317. Prime factorization of 55475 in exponential form is:

55475 = 52 × 71 × 3171

Prime Factorization of 55485

Prime factors of 55485 are 3, 5, 137. Prime factorization of 55485 in exponential form is:

55485 = 34 × 51 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 55475 and 55485.

LCM(55475,55485) = 52 × 71 × 3171 × 34 × 1371
LCM(55475,55485) = 615606075