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What is the Least Common Multiple of 54947 and 54959?

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 54947 and 54959 is 3019832173.

LCM(54947,54959) = 3019832173

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Least Common Multiple of 54947 and 54959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54947 and 54959, than apply into the LCM equation.

GCF(54947,54959) = 1
LCM(54947,54959) = ( 54947 × 54959) / 1
LCM(54947,54959) = 3019832173 / 1
LCM(54947,54959) = 3019832173

Least Common Multiple (LCM) of 54947 and 54959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54947 and 54959. First we will calculate the prime factors of 54947 and 54959.

Prime Factorization of 54947

Prime factors of 54947 are 23, 2389. Prime factorization of 54947 in exponential form is:

54947 = 231 × 23891

Prime Factorization of 54959

Prime factors of 54959 are 54959. Prime factorization of 54959 in exponential form is:

54959 = 549591

Now multiplying the highest exponent prime factors to calculate the LCM of 54947 and 54959.

LCM(54947,54959) = 231 × 23891 × 549591
LCM(54947,54959) = 3019832173