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What is the Least Common Multiple of 2135 and 2146?

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 2135 and 2146 is 4581710.

LCM(2135,2146) = 4581710

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Least Common Multiple of 2135 and 2146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2135 and 2146, than apply into the LCM equation.

GCF(2135,2146) = 1
LCM(2135,2146) = ( 2135 × 2146) / 1
LCM(2135,2146) = 4581710 / 1
LCM(2135,2146) = 4581710

Least Common Multiple (LCM) of 2135 and 2146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2135 and 2146. First we will calculate the prime factors of 2135 and 2146.

Prime Factorization of 2135

Prime factors of 2135 are 5, 7, 61. Prime factorization of 2135 in exponential form is:

2135 = 51 × 71 × 611

Prime Factorization of 2146

Prime factors of 2146 are 2, 29, 37. Prime factorization of 2146 in exponential form is:

2146 = 21 × 291 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 2135 and 2146.

LCM(2135,2146) = 51 × 71 × 611 × 21 × 291 × 371
LCM(2135,2146) = 4581710