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What is the Least Common Multiple of 55389 and 55403?

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 55389 and 55403 is 3068716767.

LCM(55389,55403) = 3068716767

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Least Common Multiple of 55389 and 55403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55389 and 55403, than apply into the LCM equation.

GCF(55389,55403) = 1
LCM(55389,55403) = ( 55389 × 55403) / 1
LCM(55389,55403) = 3068716767 / 1
LCM(55389,55403) = 3068716767

Least Common Multiple (LCM) of 55389 and 55403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55389 and 55403. First we will calculate the prime factors of 55389 and 55403.

Prime Factorization of 55389

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

55389 = 31 × 371 × 4991

Prime Factorization of 55403

Prime factors of 55403 are 17, 3259. Prime factorization of 55403 in exponential form is:

55403 = 171 × 32591

Now multiplying the highest exponent prime factors to calculate the LCM of 55389 and 55403.

LCM(55389,55403) = 31 × 371 × 4991 × 171 × 32591
LCM(55389,55403) = 3068716767