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What is the Least Common Multiple of 66205 and 66214?

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 66205 and 66214 is 4383697870.

LCM(66205,66214) = 4383697870

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Least Common Multiple of 66205 and 66214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66205 and 66214, than apply into the LCM equation.

GCF(66205,66214) = 1
LCM(66205,66214) = ( 66205 × 66214) / 1
LCM(66205,66214) = 4383697870 / 1
LCM(66205,66214) = 4383697870

Least Common Multiple (LCM) of 66205 and 66214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66205 and 66214. First we will calculate the prime factors of 66205 and 66214.

Prime Factorization of 66205

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

66205 = 51 × 132411

Prime Factorization of 66214

Prime factors of 66214 are 2, 33107. Prime factorization of 66214 in exponential form is:

66214 = 21 × 331071

Now multiplying the highest exponent prime factors to calculate the LCM of 66205 and 66214.

LCM(66205,66214) = 51 × 132411 × 21 × 331071
LCM(66205,66214) = 4383697870