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What is the Least Common Multiple of 2143 and 2160?

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 2143 and 2160 is 4628880.

LCM(2143,2160) = 4628880

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Least Common Multiple of 2143 and 2160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2143 and 2160, than apply into the LCM equation.

GCF(2143,2160) = 1
LCM(2143,2160) = ( 2143 × 2160) / 1
LCM(2143,2160) = 4628880 / 1
LCM(2143,2160) = 4628880

Least Common Multiple (LCM) of 2143 and 2160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2143 and 2160. First we will calculate the prime factors of 2143 and 2160.

Prime Factorization of 2143

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

2143 = 21431

Prime Factorization of 2160

Prime factors of 2160 are 2, 3, 5. Prime factorization of 2160 in exponential form is:

2160 = 24 × 33 × 51

Now multiplying the highest exponent prime factors to calculate the LCM of 2143 and 2160.

LCM(2143,2160) = 21431 × 24 × 33 × 51
LCM(2143,2160) = 4628880