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What is the Least Common Multiple of 55376 and 55389?

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 55376 and 55389 is 3067221264.

LCM(55376,55389) = 3067221264

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Least Common Multiple of 55376 and 55389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55376 and 55389, than apply into the LCM equation.

GCF(55376,55389) = 1
LCM(55376,55389) = ( 55376 × 55389) / 1
LCM(55376,55389) = 3067221264 / 1
LCM(55376,55389) = 3067221264

Least Common Multiple (LCM) of 55376 and 55389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55376 and 55389. First we will calculate the prime factors of 55376 and 55389.

Prime Factorization of 55376

Prime factors of 55376 are 2, 3461. Prime factorization of 55376 in exponential form is:

55376 = 24 × 34611

Prime Factorization of 55389

Prime factors of 55389 are 3, 37, 499. Prime factorization of 55389 in exponential form is:

55389 = 31 × 371 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 55376 and 55389.

LCM(55376,55389) = 24 × 34611 × 31 × 371 × 4991
LCM(55376,55389) = 3067221264