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What is the Least Common Multiple of 55939 and 55953?

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 55939 and 55953 is 3129954867.

LCM(55939,55953) = 3129954867

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Least Common Multiple of 55939 and 55953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55939 and 55953, than apply into the LCM equation.

GCF(55939,55953) = 1
LCM(55939,55953) = ( 55939 × 55953) / 1
LCM(55939,55953) = 3129954867 / 1
LCM(55939,55953) = 3129954867

Least Common Multiple (LCM) of 55939 and 55953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55939 and 55953. First we will calculate the prime factors of 55939 and 55953.

Prime Factorization of 55939

Prime factors of 55939 are 13, 331. Prime factorization of 55939 in exponential form is:

55939 = 132 × 3311

Prime Factorization of 55953

Prime factors of 55953 are 3, 6217. Prime factorization of 55953 in exponential form is:

55953 = 32 × 62171

Now multiplying the highest exponent prime factors to calculate the LCM of 55939 and 55953.

LCM(55939,55953) = 132 × 3311 × 32 × 62171
LCM(55939,55953) = 3129954867