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What is the Least Common Multiple of 55475 and 55488?

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 55488 is 3078196800.

LCM(55475,55488) = 3078196800

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Least Common Multiple of 55475 and 55488 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 55488, than apply into the LCM equation.

GCF(55475,55488) = 1
LCM(55475,55488) = ( 55475 × 55488) / 1
LCM(55475,55488) = 3078196800 / 1
LCM(55475,55488) = 3078196800

Least Common Multiple (LCM) of 55475 and 55488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55475 and 55488. First we will calculate the prime factors of 55475 and 55488.

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 55488

Prime factors of 55488 are 2, 3, 17. Prime factorization of 55488 in exponential form is:

55488 = 26 × 31 × 172

Now multiplying the highest exponent prime factors to calculate the LCM of 55475 and 55488.

LCM(55475,55488) = 52 × 71 × 3171 × 26 × 31 × 172
LCM(55475,55488) = 3078196800