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What is the Least Common Multiple of 2173 and 2190?

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 2173 and 2190 is 4758870.

LCM(2173,2190) = 4758870

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Least Common Multiple of 2173 and 2190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2173 and 2190, than apply into the LCM equation.

GCF(2173,2190) = 1
LCM(2173,2190) = ( 2173 × 2190) / 1
LCM(2173,2190) = 4758870 / 1
LCM(2173,2190) = 4758870

Least Common Multiple (LCM) of 2173 and 2190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2173 and 2190. First we will calculate the prime factors of 2173 and 2190.

Prime Factorization of 2173

Prime factors of 2173 are 41, 53. Prime factorization of 2173 in exponential form is:

2173 = 411 × 531

Prime Factorization of 2190

Prime factors of 2190 are 2, 3, 5, 73. Prime factorization of 2190 in exponential form is:

2190 = 21 × 31 × 51 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 2173 and 2190.

LCM(2173,2190) = 411 × 531 × 21 × 31 × 51 × 731
LCM(2173,2190) = 4758870