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What is the Least Common Multiple of 8210 and 8224?

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 8210 and 8224 is 33759520.

LCM(8210,8224) = 33759520

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Least Common Multiple of 8210 and 8224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8210 and 8224, than apply into the LCM equation.

GCF(8210,8224) = 2
LCM(8210,8224) = ( 8210 × 8224) / 2
LCM(8210,8224) = 67519040 / 2
LCM(8210,8224) = 33759520

Least Common Multiple (LCM) of 8210 and 8224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8210 and 8224. First we will calculate the prime factors of 8210 and 8224.

Prime Factorization of 8210

Prime factors of 8210 are 2, 5, 821. Prime factorization of 8210 in exponential form is:

8210 = 21 × 51 × 8211

Prime Factorization of 8224

Prime factors of 8224 are 2, 257. Prime factorization of 8224 in exponential form is:

8224 = 25 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 8210 and 8224.

LCM(8210,8224) = 25 × 51 × 8211 × 2571
LCM(8210,8224) = 33759520