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What is the Least Common Multiple of 2210 and 2215?

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 2210 and 2215 is 979030.

LCM(2210,2215) = 979030

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Least Common Multiple of 2210 and 2215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2210 and 2215, than apply into the LCM equation.

GCF(2210,2215) = 5
LCM(2210,2215) = ( 2210 × 2215) / 5
LCM(2210,2215) = 4895150 / 5
LCM(2210,2215) = 979030

Least Common Multiple (LCM) of 2210 and 2215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2210 and 2215. First we will calculate the prime factors of 2210 and 2215.

Prime Factorization of 2210

Prime factors of 2210 are 2, 5, 13, 17. Prime factorization of 2210 in exponential form is:

2210 = 21 × 51 × 131 × 171

Prime Factorization of 2215

Prime factors of 2215 are 5, 443. Prime factorization of 2215 in exponential form is:

2215 = 51 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 2210 and 2215.

LCM(2210,2215) = 21 × 51 × 131 × 171 × 4431
LCM(2210,2215) = 979030