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What is the Least Common Multiple of 55963 and 55983?

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 55963 and 55983 is 3132976629.

LCM(55963,55983) = 3132976629

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Least Common Multiple of 55963 and 55983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55963 and 55983, than apply into the LCM equation.

GCF(55963,55983) = 1
LCM(55963,55983) = ( 55963 × 55983) / 1
LCM(55963,55983) = 3132976629 / 1
LCM(55963,55983) = 3132976629

Least Common Multiple (LCM) of 55963 and 55983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55963 and 55983. First we will calculate the prime factors of 55963 and 55983.

Prime Factorization of 55963

Prime factors of 55963 are 191, 293. Prime factorization of 55963 in exponential form is:

55963 = 1911 × 2931

Prime Factorization of 55983

Prime factors of 55983 are 3, 18661. Prime factorization of 55983 in exponential form is:

55983 = 31 × 186611

Now multiplying the highest exponent prime factors to calculate the LCM of 55963 and 55983.

LCM(55963,55983) = 1911 × 2931 × 31 × 186611
LCM(55963,55983) = 3132976629