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What is the Least Common Multiple of 2290 and 2295?

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 2290 and 2295 is 1051110.

LCM(2290,2295) = 1051110

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Least Common Multiple of 2290 and 2295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2290 and 2295, than apply into the LCM equation.

GCF(2290,2295) = 5
LCM(2290,2295) = ( 2290 × 2295) / 5
LCM(2290,2295) = 5255550 / 5
LCM(2290,2295) = 1051110

Least Common Multiple (LCM) of 2290 and 2295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2290 and 2295. First we will calculate the prime factors of 2290 and 2295.

Prime Factorization of 2290

Prime factors of 2290 are 2, 5, 229. Prime factorization of 2290 in exponential form is:

2290 = 21 × 51 × 2291

Prime Factorization of 2295

Prime factors of 2295 are 3, 5, 17. Prime factorization of 2295 in exponential form is:

2295 = 33 × 51 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 2290 and 2295.

LCM(2290,2295) = 21 × 51 × 2291 × 33 × 171
LCM(2290,2295) = 1051110