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What is the Least Common Multiple of 54894 and 54908?

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 54894 and 54908 is 215294268.

LCM(54894,54908) = 215294268

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Least Common Multiple of 54894 and 54908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54894 and 54908, than apply into the LCM equation.

GCF(54894,54908) = 14
LCM(54894,54908) = ( 54894 × 54908) / 14
LCM(54894,54908) = 3014119752 / 14
LCM(54894,54908) = 215294268

Least Common Multiple (LCM) of 54894 and 54908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54894 and 54908. First we will calculate the prime factors of 54894 and 54908.

Prime Factorization of 54894

Prime factors of 54894 are 2, 3, 7, 1307. Prime factorization of 54894 in exponential form is:

54894 = 21 × 31 × 71 × 13071

Prime Factorization of 54908

Prime factors of 54908 are 2, 7, 37, 53. Prime factorization of 54908 in exponential form is:

54908 = 22 × 71 × 371 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 54894 and 54908.

LCM(54894,54908) = 22 × 31 × 71 × 13071 × 371 × 531
LCM(54894,54908) = 215294268