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What is the Least Common Multiple of 55966 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 55966 and 55983 is 3133144578.

LCM(55966,55983) = 3133144578

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Least Common Multiple of 55966 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 55966 and 55983, than apply into the LCM equation.

GCF(55966,55983) = 1
LCM(55966,55983) = ( 55966 × 55983) / 1
LCM(55966,55983) = 3133144578 / 1
LCM(55966,55983) = 3133144578

Least Common Multiple (LCM) of 55966 and 55983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55966 and 55983. First we will calculate the prime factors of 55966 and 55983.

Prime Factorization of 55966

Prime factors of 55966 are 2, 27983. Prime factorization of 55966 in exponential form is:

55966 = 21 × 279831

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 55966 and 55983.

LCM(55966,55983) = 21 × 279831 × 31 × 186611
LCM(55966,55983) = 3133144578