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What is the Least Common Multiple of 57097 and 57109?

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 57097 and 57109 is 3260752573.

LCM(57097,57109) = 3260752573

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Least Common Multiple of 57097 and 57109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57097 and 57109, than apply into the LCM equation.

GCF(57097,57109) = 1
LCM(57097,57109) = ( 57097 × 57109) / 1
LCM(57097,57109) = 3260752573 / 1
LCM(57097,57109) = 3260752573

Least Common Multiple (LCM) of 57097 and 57109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57097 and 57109. First we will calculate the prime factors of 57097 and 57109.

Prime Factorization of 57097

Prime factors of 57097 are 57097. Prime factorization of 57097 in exponential form is:

57097 = 570971

Prime Factorization of 57109

Prime factors of 57109 are 13, 23, 191. Prime factorization of 57109 in exponential form is:

57109 = 131 × 231 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 57097 and 57109.

LCM(57097,57109) = 570971 × 131 × 231 × 1911
LCM(57097,57109) = 3260752573