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What is the Least Common Multiple of 66200 and 66209?

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 66209 is 4383035800.

LCM(66200,66209) = 4383035800

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Least Common Multiple of 66200 and 66209 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 66209, than apply into the LCM equation.

GCF(66200,66209) = 1
LCM(66200,66209) = ( 66200 × 66209) / 1
LCM(66200,66209) = 4383035800 / 1
LCM(66200,66209) = 4383035800

Least Common Multiple (LCM) of 66200 and 66209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66200 and 66209. First we will calculate the prime factors of 66200 and 66209.

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 66209

Prime factors of 66209 are 11, 13, 463. Prime factorization of 66209 in exponential form is:

66209 = 111 × 131 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 66200 and 66209.

LCM(66200,66209) = 23 × 52 × 3311 × 111 × 131 × 4631
LCM(66200,66209) = 4383035800