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What is the Least Common Multiple of 55975 and 55986?

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 55975 and 55986 is 3133816350.

LCM(55975,55986) = 3133816350

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Least Common Multiple of 55975 and 55986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55975 and 55986, than apply into the LCM equation.

GCF(55975,55986) = 1
LCM(55975,55986) = ( 55975 × 55986) / 1
LCM(55975,55986) = 3133816350 / 1
LCM(55975,55986) = 3133816350

Least Common Multiple (LCM) of 55975 and 55986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55975 and 55986. First we will calculate the prime factors of 55975 and 55986.

Prime Factorization of 55975

Prime factors of 55975 are 5, 2239. Prime factorization of 55975 in exponential form is:

55975 = 52 × 22391

Prime Factorization of 55986

Prime factors of 55986 are 2, 3, 7, 31, 43. Prime factorization of 55986 in exponential form is:

55986 = 21 × 31 × 71 × 311 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 55975 and 55986.

LCM(55975,55986) = 52 × 22391 × 21 × 31 × 71 × 311 × 431
LCM(55975,55986) = 3133816350