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What is the Least Common Multiple of 55942 and 55959?

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 55942 and 55959 is 3130458378.

LCM(55942,55959) = 3130458378

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Least Common Multiple of 55942 and 55959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55942 and 55959, than apply into the LCM equation.

GCF(55942,55959) = 1
LCM(55942,55959) = ( 55942 × 55959) / 1
LCM(55942,55959) = 3130458378 / 1
LCM(55942,55959) = 3130458378

Least Common Multiple (LCM) of 55942 and 55959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55942 and 55959. First we will calculate the prime factors of 55942 and 55959.

Prime Factorization of 55942

Prime factors of 55942 are 2, 83, 337. Prime factorization of 55942 in exponential form is:

55942 = 21 × 831 × 3371

Prime Factorization of 55959

Prime factors of 55959 are 3, 23, 811. Prime factorization of 55959 in exponential form is:

55959 = 31 × 231 × 8111

Now multiplying the highest exponent prime factors to calculate the LCM of 55942 and 55959.

LCM(55942,55959) = 21 × 831 × 3371 × 31 × 231 × 8111
LCM(55942,55959) = 3130458378