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What is the Least Common Multiple of 4110 and 4115?

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 4110 and 4115 is 3382530.

LCM(4110,4115) = 3382530

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Least Common Multiple of 4110 and 4115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4110 and 4115, than apply into the LCM equation.

GCF(4110,4115) = 5
LCM(4110,4115) = ( 4110 × 4115) / 5
LCM(4110,4115) = 16912650 / 5
LCM(4110,4115) = 3382530

Least Common Multiple (LCM) of 4110 and 4115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4110 and 4115. First we will calculate the prime factors of 4110 and 4115.

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

Prime Factorization of 4115

Prime factors of 4115 are 5, 823. Prime factorization of 4115 in exponential form is:

4115 = 51 × 8231

Now multiplying the highest exponent prime factors to calculate the LCM of 4110 and 4115.

LCM(4110,4115) = 21 × 31 × 51 × 1371 × 8231
LCM(4110,4115) = 3382530