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What is the Least Common Multiple of 55314 and 55334?

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 55314 and 55334 is 1530372438.

LCM(55314,55334) = 1530372438

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Least Common Multiple of 55314 and 55334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55314 and 55334, than apply into the LCM equation.

GCF(55314,55334) = 2
LCM(55314,55334) = ( 55314 × 55334) / 2
LCM(55314,55334) = 3060744876 / 2
LCM(55314,55334) = 1530372438

Least Common Multiple (LCM) of 55314 and 55334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55314 and 55334. First we will calculate the prime factors of 55314 and 55334.

Prime Factorization of 55314

Prime factors of 55314 are 2, 3, 7, 439. Prime factorization of 55314 in exponential form is:

55314 = 21 × 32 × 71 × 4391

Prime Factorization of 55334

Prime factors of 55334 are 2, 73, 379. Prime factorization of 55334 in exponential form is:

55334 = 21 × 731 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 55314 and 55334.

LCM(55314,55334) = 21 × 32 × 71 × 4391 × 731 × 3791
LCM(55314,55334) = 1530372438