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What is the Least Common Multiple of 2132 and 2143?

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 2132 and 2143 is 4568876.

LCM(2132,2143) = 4568876

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Least Common Multiple of 2132 and 2143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2132 and 2143, than apply into the LCM equation.

GCF(2132,2143) = 1
LCM(2132,2143) = ( 2132 × 2143) / 1
LCM(2132,2143) = 4568876 / 1
LCM(2132,2143) = 4568876

Least Common Multiple (LCM) of 2132 and 2143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2132 and 2143. First we will calculate the prime factors of 2132 and 2143.

Prime Factorization of 2132

Prime factors of 2132 are 2, 13, 41. Prime factorization of 2132 in exponential form is:

2132 = 22 × 131 × 411

Prime Factorization of 2143

Prime factors of 2143 are 2143. Prime factorization of 2143 in exponential form is:

2143 = 21431

Now multiplying the highest exponent prime factors to calculate the LCM of 2132 and 2143.

LCM(2132,2143) = 22 × 131 × 411 × 21431
LCM(2132,2143) = 4568876