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What is the Least Common Multiple of 54548 and 54553?

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 54548 and 54553 is 2975757044.

LCM(54548,54553) = 2975757044

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Least Common Multiple of 54548 and 54553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54548 and 54553, than apply into the LCM equation.

GCF(54548,54553) = 1
LCM(54548,54553) = ( 54548 × 54553) / 1
LCM(54548,54553) = 2975757044 / 1
LCM(54548,54553) = 2975757044

Least Common Multiple (LCM) of 54548 and 54553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54548 and 54553. First we will calculate the prime factors of 54548 and 54553.

Prime Factorization of 54548

Prime factors of 54548 are 2, 13, 1049. Prime factorization of 54548 in exponential form is:

54548 = 22 × 131 × 10491

Prime Factorization of 54553

Prime factors of 54553 are 17, 3209. Prime factorization of 54553 in exponential form is:

54553 = 171 × 32091

Now multiplying the highest exponent prime factors to calculate the LCM of 54548 and 54553.

LCM(54548,54553) = 22 × 131 × 10491 × 171 × 32091
LCM(54548,54553) = 2975757044