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What is the Least Common Multiple of 66315 and 66328?

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 66315 and 66328 is 4398541320.

LCM(66315,66328) = 4398541320

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Least Common Multiple of 66315 and 66328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66315 and 66328, than apply into the LCM equation.

GCF(66315,66328) = 1
LCM(66315,66328) = ( 66315 × 66328) / 1
LCM(66315,66328) = 4398541320 / 1
LCM(66315,66328) = 4398541320

Least Common Multiple (LCM) of 66315 and 66328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66315 and 66328. First we will calculate the prime factors of 66315 and 66328.

Prime Factorization of 66315

Prime factors of 66315 are 3, 5, 4421. Prime factorization of 66315 in exponential form is:

66315 = 31 × 51 × 44211

Prime Factorization of 66328

Prime factors of 66328 are 2, 8291. Prime factorization of 66328 in exponential form is:

66328 = 23 × 82911

Now multiplying the highest exponent prime factors to calculate the LCM of 66315 and 66328.

LCM(66315,66328) = 31 × 51 × 44211 × 23 × 82911
LCM(66315,66328) = 4398541320