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What is the Least Common Multiple of 2149 and 2164?

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 2149 and 2164 is 4650436.

LCM(2149,2164) = 4650436

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Least Common Multiple of 2149 and 2164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2149 and 2164, than apply into the LCM equation.

GCF(2149,2164) = 1
LCM(2149,2164) = ( 2149 × 2164) / 1
LCM(2149,2164) = 4650436 / 1
LCM(2149,2164) = 4650436

Least Common Multiple (LCM) of 2149 and 2164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2149 and 2164. First we will calculate the prime factors of 2149 and 2164.

Prime Factorization of 2149

Prime factors of 2149 are 7, 307. Prime factorization of 2149 in exponential form is:

2149 = 71 × 3071

Prime Factorization of 2164

Prime factors of 2164 are 2, 541. Prime factorization of 2164 in exponential form is:

2164 = 22 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 2149 and 2164.

LCM(2149,2164) = 71 × 3071 × 22 × 5411
LCM(2149,2164) = 4650436