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What is the Least Common Multiple of 54556 and 54567?

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 54556 and 54567 is 2976957252.

LCM(54556,54567) = 2976957252

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Least Common Multiple of 54556 and 54567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54556 and 54567, than apply into the LCM equation.

GCF(54556,54567) = 1
LCM(54556,54567) = ( 54556 × 54567) / 1
LCM(54556,54567) = 2976957252 / 1
LCM(54556,54567) = 2976957252

Least Common Multiple (LCM) of 54556 and 54567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54556 and 54567. First we will calculate the prime factors of 54556 and 54567.

Prime Factorization of 54556

Prime factors of 54556 are 2, 23, 593. Prime factorization of 54556 in exponential form is:

54556 = 22 × 231 × 5931

Prime Factorization of 54567

Prime factors of 54567 are 3, 43, 47. Prime factorization of 54567 in exponential form is:

54567 = 33 × 431 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 54556 and 54567.

LCM(54556,54567) = 22 × 231 × 5931 × 33 × 431 × 471
LCM(54556,54567) = 2976957252