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What is the Least Common Multiple of 54549 and 54557?

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 54557 is 2976029793.

LCM(54549,54557) = 2976029793

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Least Common Multiple of 54549 and 54557 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 54557, than apply into the LCM equation.

GCF(54549,54557) = 1
LCM(54549,54557) = ( 54549 × 54557) / 1
LCM(54549,54557) = 2976029793 / 1
LCM(54549,54557) = 2976029793

Least Common Multiple (LCM) of 54549 and 54557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54549 and 54557. First we will calculate the prime factors of 54549 and 54557.

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 54557

Prime factors of 54557 are 89, 613. Prime factorization of 54557 in exponential form is:

54557 = 891 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 54549 and 54557.

LCM(54549,54557) = 32 × 111 × 191 × 291 × 891 × 6131
LCM(54549,54557) = 2976029793