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What is the Least Common Multiple of 4097 and 4110?

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 4097 and 4110 is 16838670.

LCM(4097,4110) = 16838670

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Least Common Multiple of 4097 and 4110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4097 and 4110, than apply into the LCM equation.

GCF(4097,4110) = 1
LCM(4097,4110) = ( 4097 × 4110) / 1
LCM(4097,4110) = 16838670 / 1
LCM(4097,4110) = 16838670

Least Common Multiple (LCM) of 4097 and 4110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4097 and 4110. First we will calculate the prime factors of 4097 and 4110.

Prime Factorization of 4097

Prime factors of 4097 are 17, 241. Prime factorization of 4097 in exponential form is:

4097 = 171 × 2411

Prime Factorization of 4110

Prime factors of 4110 are 2, 3, 5, 137. Prime factorization of 4110 in exponential form is:

4110 = 21 × 31 × 51 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 4097 and 4110.

LCM(4097,4110) = 171 × 2411 × 21 × 31 × 51 × 1371
LCM(4097,4110) = 16838670