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What is the Least Common Multiple of 55966 and 55977?

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 55977 is 3132808782.

LCM(55966,55977) = 3132808782

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Least Common Multiple of 55966 and 55977 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 55977, than apply into the LCM equation.

GCF(55966,55977) = 1
LCM(55966,55977) = ( 55966 × 55977) / 1
LCM(55966,55977) = 3132808782 / 1
LCM(55966,55977) = 3132808782

Least Common Multiple (LCM) of 55966 and 55977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55966 and 55977. First we will calculate the prime factors of 55966 and 55977.

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 55977

Prime factors of 55977 are 3, 47, 397. Prime factorization of 55977 in exponential form is:

55977 = 31 × 471 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 55966 and 55977.

LCM(55966,55977) = 21 × 279831 × 31 × 471 × 3971
LCM(55966,55977) = 3132808782