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What is the Least Common Multiple of 55917 and 55923?

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 55917 and 55923 is 1042348797.

LCM(55917,55923) = 1042348797

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Least Common Multiple of 55917 and 55923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55917 and 55923, than apply into the LCM equation.

GCF(55917,55923) = 3
LCM(55917,55923) = ( 55917 × 55923) / 3
LCM(55917,55923) = 3127046391 / 3
LCM(55917,55923) = 1042348797

Least Common Multiple (LCM) of 55917 and 55923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55917 and 55923. First we will calculate the prime factors of 55917 and 55923.

Prime Factorization of 55917

Prime factors of 55917 are 3, 19, 109. Prime factorization of 55917 in exponential form is:

55917 = 33 × 191 × 1091

Prime Factorization of 55923

Prime factors of 55923 are 3, 7, 2663. Prime factorization of 55923 in exponential form is:

55923 = 31 × 71 × 26631

Now multiplying the highest exponent prime factors to calculate the LCM of 55917 and 55923.

LCM(55917,55923) = 33 × 191 × 1091 × 71 × 26631
LCM(55917,55923) = 1042348797