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What is the Least Common Multiple of 54846 and 54855?

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 54846 and 54855 is 334286370.

LCM(54846,54855) = 334286370

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Least Common Multiple of 54846 and 54855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54846 and 54855, than apply into the LCM equation.

GCF(54846,54855) = 9
LCM(54846,54855) = ( 54846 × 54855) / 9
LCM(54846,54855) = 3008577330 / 9
LCM(54846,54855) = 334286370

Least Common Multiple (LCM) of 54846 and 54855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54846 and 54855. First we will calculate the prime factors of 54846 and 54855.

Prime Factorization of 54846

Prime factors of 54846 are 2, 3, 11, 277. Prime factorization of 54846 in exponential form is:

54846 = 21 × 32 × 111 × 2771

Prime Factorization of 54855

Prime factors of 54855 are 3, 5, 23, 53. Prime factorization of 54855 in exponential form is:

54855 = 32 × 51 × 231 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 54846 and 54855.

LCM(54846,54855) = 21 × 32 × 111 × 2771 × 51 × 231 × 531
LCM(54846,54855) = 334286370