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What is the Least Common Multiple of 66312 and 66322?

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 66312 and 66322 is 2198972232.

LCM(66312,66322) = 2198972232

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Least Common Multiple of 66312 and 66322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66312 and 66322, than apply into the LCM equation.

GCF(66312,66322) = 2
LCM(66312,66322) = ( 66312 × 66322) / 2
LCM(66312,66322) = 4397944464 / 2
LCM(66312,66322) = 2198972232

Least Common Multiple (LCM) of 66312 and 66322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66312 and 66322. First we will calculate the prime factors of 66312 and 66322.

Prime Factorization of 66312

Prime factors of 66312 are 2, 3, 307. Prime factorization of 66312 in exponential form is:

66312 = 23 × 33 × 3071

Prime Factorization of 66322

Prime factors of 66322 are 2, 33161. Prime factorization of 66322 in exponential form is:

66322 = 21 × 331611

Now multiplying the highest exponent prime factors to calculate the LCM of 66312 and 66322.

LCM(66312,66322) = 23 × 33 × 3071 × 331611
LCM(66312,66322) = 2198972232