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What is the Least Common Multiple of 55977 and 55993?

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 55977 and 55993 is 3134320161.

LCM(55977,55993) = 3134320161

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Least Common Multiple of 55977 and 55993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55977 and 55993, than apply into the LCM equation.

GCF(55977,55993) = 1
LCM(55977,55993) = ( 55977 × 55993) / 1
LCM(55977,55993) = 3134320161 / 1
LCM(55977,55993) = 3134320161

Least Common Multiple (LCM) of 55977 and 55993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55977 and 55993. First we will calculate the prime factors of 55977 and 55993.

Prime Factorization of 55977

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

55977 = 31 × 471 × 3971

Prime Factorization of 55993

Prime factors of 55993 are 7, 19, 421. Prime factorization of 55993 in exponential form is:

55993 = 71 × 191 × 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 55977 and 55993.

LCM(55977,55993) = 31 × 471 × 3971 × 71 × 191 × 4211
LCM(55977,55993) = 3134320161