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What is the Least Common Multiple of 2102 and 2115?

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 2102 and 2115 is 4445730.

LCM(2102,2115) = 4445730

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Least Common Multiple of 2102 and 2115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2102 and 2115, than apply into the LCM equation.

GCF(2102,2115) = 1
LCM(2102,2115) = ( 2102 × 2115) / 1
LCM(2102,2115) = 4445730 / 1
LCM(2102,2115) = 4445730

Least Common Multiple (LCM) of 2102 and 2115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2102 and 2115. First we will calculate the prime factors of 2102 and 2115.

Prime Factorization of 2102

Prime factors of 2102 are 2, 1051. Prime factorization of 2102 in exponential form is:

2102 = 21 × 10511

Prime Factorization of 2115

Prime factors of 2115 are 3, 5, 47. Prime factorization of 2115 in exponential form is:

2115 = 32 × 51 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 2102 and 2115.

LCM(2102,2115) = 21 × 10511 × 32 × 51 × 471
LCM(2102,2115) = 4445730