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What is the Least Common Multiple of 55071 and 55089?

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 55071 and 55089 is 337089591.

LCM(55071,55089) = 337089591

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Least Common Multiple of 55071 and 55089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55071 and 55089, than apply into the LCM equation.

GCF(55071,55089) = 9
LCM(55071,55089) = ( 55071 × 55089) / 9
LCM(55071,55089) = 3033806319 / 9
LCM(55071,55089) = 337089591

Least Common Multiple (LCM) of 55071 and 55089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55071 and 55089. First we will calculate the prime factors of 55071 and 55089.

Prime Factorization of 55071

Prime factors of 55071 are 3, 29, 211. Prime factorization of 55071 in exponential form is:

55071 = 32 × 291 × 2111

Prime Factorization of 55089

Prime factors of 55089 are 3, 6121. Prime factorization of 55089 in exponential form is:

55089 = 32 × 61211

Now multiplying the highest exponent prime factors to calculate the LCM of 55071 and 55089.

LCM(55071,55089) = 32 × 291 × 2111 × 61211
LCM(55071,55089) = 337089591