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What is the Least Common Multiple of 4108 and 4113?

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 4108 and 4113 is 16896204.

LCM(4108,4113) = 16896204

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Least Common Multiple of 4108 and 4113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4108 and 4113, than apply into the LCM equation.

GCF(4108,4113) = 1
LCM(4108,4113) = ( 4108 × 4113) / 1
LCM(4108,4113) = 16896204 / 1
LCM(4108,4113) = 16896204

Least Common Multiple (LCM) of 4108 and 4113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4108 and 4113. First we will calculate the prime factors of 4108 and 4113.

Prime Factorization of 4108

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

4108 = 22 × 131 × 791

Prime Factorization of 4113

Prime factors of 4113 are 3, 457. Prime factorization of 4113 in exponential form is:

4113 = 32 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 4108 and 4113.

LCM(4108,4113) = 22 × 131 × 791 × 32 × 4571
LCM(4108,4113) = 16896204