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What is the Least Common Multiple of 28202 and 28218?

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 28202 and 28218 is 397902018.

LCM(28202,28218) = 397902018

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Least Common Multiple of 28202 and 28218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28202 and 28218, than apply into the LCM equation.

GCF(28202,28218) = 2
LCM(28202,28218) = ( 28202 × 28218) / 2
LCM(28202,28218) = 795804036 / 2
LCM(28202,28218) = 397902018

Least Common Multiple (LCM) of 28202 and 28218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28202 and 28218. First we will calculate the prime factors of 28202 and 28218.

Prime Factorization of 28202

Prime factors of 28202 are 2, 59, 239. Prime factorization of 28202 in exponential form is:

28202 = 21 × 591 × 2391

Prime Factorization of 28218

Prime factors of 28218 are 2, 3, 4703. Prime factorization of 28218 in exponential form is:

28218 = 21 × 31 × 47031

Now multiplying the highest exponent prime factors to calculate the LCM of 28202 and 28218.

LCM(28202,28218) = 21 × 591 × 2391 × 31 × 47031
LCM(28202,28218) = 397902018