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What is the Least Common Multiple of 66207 and 66222?

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 66207 and 66222 is 1461453318.

LCM(66207,66222) = 1461453318

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Least Common Multiple of 66207 and 66222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66207 and 66222, than apply into the LCM equation.

GCF(66207,66222) = 3
LCM(66207,66222) = ( 66207 × 66222) / 3
LCM(66207,66222) = 4384359954 / 3
LCM(66207,66222) = 1461453318

Least Common Multiple (LCM) of 66207 and 66222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66207 and 66222. First we will calculate the prime factors of 66207 and 66222.

Prime Factorization of 66207

Prime factors of 66207 are 3, 29, 761. Prime factorization of 66207 in exponential form is:

66207 = 31 × 291 × 7611

Prime Factorization of 66222

Prime factors of 66222 are 2, 3, 13, 283. Prime factorization of 66222 in exponential form is:

66222 = 21 × 32 × 131 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 66207 and 66222.

LCM(66207,66222) = 32 × 291 × 7611 × 21 × 131 × 2831
LCM(66207,66222) = 1461453318