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What is the Least Common Multiple of 55479 and 55495?

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 55479 and 55495 is 3078807105.

LCM(55479,55495) = 3078807105

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Least Common Multiple of 55479 and 55495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55479 and 55495, than apply into the LCM equation.

GCF(55479,55495) = 1
LCM(55479,55495) = ( 55479 × 55495) / 1
LCM(55479,55495) = 3078807105 / 1
LCM(55479,55495) = 3078807105

Least Common Multiple (LCM) of 55479 and 55495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55479 and 55495. First we will calculate the prime factors of 55479 and 55495.

Prime Factorization of 55479

Prime factors of 55479 are 3, 18493. Prime factorization of 55479 in exponential form is:

55479 = 31 × 184931

Prime Factorization of 55495

Prime factors of 55495 are 5, 11, 1009. Prime factorization of 55495 in exponential form is:

55495 = 51 × 111 × 10091

Now multiplying the highest exponent prime factors to calculate the LCM of 55479 and 55495.

LCM(55479,55495) = 31 × 184931 × 51 × 111 × 10091
LCM(55479,55495) = 3078807105