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What is the Least Common Multiple of 4097 and 4108?

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 4108 is 16830476.

LCM(4097,4108) = 16830476

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Least Common Multiple of 4097 and 4108 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 4108, than apply into the LCM equation.

GCF(4097,4108) = 1
LCM(4097,4108) = ( 4097 × 4108) / 1
LCM(4097,4108) = 16830476 / 1
LCM(4097,4108) = 16830476

Least Common Multiple (LCM) of 4097 and 4108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4097 and 4108. First we will calculate the prime factors of 4097 and 4108.

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 4108

Prime factors of 4108 are 2, 13, 79. Prime factorization of 4108 in exponential form is:

4108 = 22 × 131 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 4097 and 4108.

LCM(4097,4108) = 171 × 2411 × 22 × 131 × 791
LCM(4097,4108) = 16830476