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What is the Least Common Multiple of 2161 and 2169?

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 2161 and 2169 is 4687209.

LCM(2161,2169) = 4687209

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Least Common Multiple of 2161 and 2169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2161 and 2169, than apply into the LCM equation.

GCF(2161,2169) = 1
LCM(2161,2169) = ( 2161 × 2169) / 1
LCM(2161,2169) = 4687209 / 1
LCM(2161,2169) = 4687209

Least Common Multiple (LCM) of 2161 and 2169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2161 and 2169. First we will calculate the prime factors of 2161 and 2169.

Prime Factorization of 2161

Prime factors of 2161 are 2161. Prime factorization of 2161 in exponential form is:

2161 = 21611

Prime Factorization of 2169

Prime factors of 2169 are 3, 241. Prime factorization of 2169 in exponential form is:

2169 = 32 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 2161 and 2169.

LCM(2161,2169) = 21611 × 32 × 2411
LCM(2161,2169) = 4687209