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What is the Least Common Multiple of 4103 and 4107?

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 4103 and 4107 is 16851021.

LCM(4103,4107) = 16851021

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Least Common Multiple of 4103 and 4107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4103 and 4107, than apply into the LCM equation.

GCF(4103,4107) = 1
LCM(4103,4107) = ( 4103 × 4107) / 1
LCM(4103,4107) = 16851021 / 1
LCM(4103,4107) = 16851021

Least Common Multiple (LCM) of 4103 and 4107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4103 and 4107. First we will calculate the prime factors of 4103 and 4107.

Prime Factorization of 4103

Prime factors of 4103 are 11, 373. Prime factorization of 4103 in exponential form is:

4103 = 111 × 3731

Prime Factorization of 4107

Prime factors of 4107 are 3, 37. Prime factorization of 4107 in exponential form is:

4107 = 31 × 372

Now multiplying the highest exponent prime factors to calculate the LCM of 4103 and 4107.

LCM(4103,4107) = 111 × 3731 × 31 × 372
LCM(4103,4107) = 16851021