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What is the Least Common Multiple of 55667 and 55687?

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 55667 and 55687 is 3099928229.

LCM(55667,55687) = 3099928229

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Least Common Multiple of 55667 and 55687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55667 and 55687, than apply into the LCM equation.

GCF(55667,55687) = 1
LCM(55667,55687) = ( 55667 × 55687) / 1
LCM(55667,55687) = 3099928229 / 1
LCM(55667,55687) = 3099928229

Least Common Multiple (LCM) of 55667 and 55687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55667 and 55687. First we will calculate the prime factors of 55667 and 55687.

Prime Factorization of 55667

Prime factors of 55667 are 55667. Prime factorization of 55667 in exponential form is:

55667 = 556671

Prime Factorization of 55687

Prime factors of 55687 are 233, 239. Prime factorization of 55687 in exponential form is:

55687 = 2331 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 55667 and 55687.

LCM(55667,55687) = 556671 × 2331 × 2391
LCM(55667,55687) = 3099928229