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What is the Least Common Multiple of 54549 and 54554?

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 54549 and 54554 is 2975866146.

LCM(54549,54554) = 2975866146

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Least Common Multiple of 54549 and 54554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54549 and 54554, than apply into the LCM equation.

GCF(54549,54554) = 1
LCM(54549,54554) = ( 54549 × 54554) / 1
LCM(54549,54554) = 2975866146 / 1
LCM(54549,54554) = 2975866146

Least Common Multiple (LCM) of 54549 and 54554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54549 and 54554. First we will calculate the prime factors of 54549 and 54554.

Prime Factorization of 54549

Prime factors of 54549 are 3, 11, 19, 29. Prime factorization of 54549 in exponential form is:

54549 = 32 × 111 × 191 × 291

Prime Factorization of 54554

Prime factors of 54554 are 2, 27277. Prime factorization of 54554 in exponential form is:

54554 = 21 × 272771

Now multiplying the highest exponent prime factors to calculate the LCM of 54549 and 54554.

LCM(54549,54554) = 32 × 111 × 191 × 291 × 21 × 272771
LCM(54549,54554) = 2975866146