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What is the Least Common Multiple of 55949 and 55966?

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 55949 and 55966 is 3131241734.

LCM(55949,55966) = 3131241734

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Least Common Multiple of 55949 and 55966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55949 and 55966, than apply into the LCM equation.

GCF(55949,55966) = 1
LCM(55949,55966) = ( 55949 × 55966) / 1
LCM(55949,55966) = 3131241734 / 1
LCM(55949,55966) = 3131241734

Least Common Multiple (LCM) of 55949 and 55966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55949 and 55966. First we will calculate the prime factors of 55949 and 55966.

Prime Factorization of 55949

Prime factors of 55949 are 55949. Prime factorization of 55949 in exponential form is:

55949 = 559491

Prime Factorization of 55966

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

55966 = 21 × 279831

Now multiplying the highest exponent prime factors to calculate the LCM of 55949 and 55966.

LCM(55949,55966) = 559491 × 21 × 279831
LCM(55949,55966) = 3131241734