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What is the Least Common Multiple of 2131 and 2144?

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 2131 and 2144 is 4568864.

LCM(2131,2144) = 4568864

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Least Common Multiple of 2131 and 2144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2131 and 2144, than apply into the LCM equation.

GCF(2131,2144) = 1
LCM(2131,2144) = ( 2131 × 2144) / 1
LCM(2131,2144) = 4568864 / 1
LCM(2131,2144) = 4568864

Least Common Multiple (LCM) of 2131 and 2144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2131 and 2144. First we will calculate the prime factors of 2131 and 2144.

Prime Factorization of 2131

Prime factors of 2131 are 2131. Prime factorization of 2131 in exponential form is:

2131 = 21311

Prime Factorization of 2144

Prime factors of 2144 are 2, 67. Prime factorization of 2144 in exponential form is:

2144 = 25 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 2131 and 2144.

LCM(2131,2144) = 21311 × 25 × 671
LCM(2131,2144) = 4568864