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What is the Least Common Multiple of 66200 and 66205?

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 66200 and 66205 is 876554200.

LCM(66200,66205) = 876554200

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Least Common Multiple of 66200 and 66205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66200 and 66205, than apply into the LCM equation.

GCF(66200,66205) = 5
LCM(66200,66205) = ( 66200 × 66205) / 5
LCM(66200,66205) = 4382771000 / 5
LCM(66200,66205) = 876554200

Least Common Multiple (LCM) of 66200 and 66205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66200 and 66205. First we will calculate the prime factors of 66200 and 66205.

Prime Factorization of 66200

Prime factors of 66200 are 2, 5, 331. Prime factorization of 66200 in exponential form is:

66200 = 23 × 52 × 3311

Prime Factorization of 66205

Prime factors of 66205 are 5, 13241. Prime factorization of 66205 in exponential form is:

66205 = 51 × 132411

Now multiplying the highest exponent prime factors to calculate the LCM of 66200 and 66205.

LCM(66200,66205) = 23 × 52 × 3311 × 132411
LCM(66200,66205) = 876554200