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What is the Least Common Multiple of 4077 and 4097?

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 4077 and 4097 is 16703469.

LCM(4077,4097) = 16703469

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Least Common Multiple of 4077 and 4097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4077 and 4097, than apply into the LCM equation.

GCF(4077,4097) = 1
LCM(4077,4097) = ( 4077 × 4097) / 1
LCM(4077,4097) = 16703469 / 1
LCM(4077,4097) = 16703469

Least Common Multiple (LCM) of 4077 and 4097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4077 and 4097. First we will calculate the prime factors of 4077 and 4097.

Prime Factorization of 4077

Prime factors of 4077 are 3, 151. Prime factorization of 4077 in exponential form is:

4077 = 33 × 1511

Prime Factorization of 4097

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

4097 = 171 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 4077 and 4097.

LCM(4077,4097) = 33 × 1511 × 171 × 2411
LCM(4077,4097) = 16703469