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What is the Least Common Multiple of 66330 and 66339?

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 66330 and 66339 is 488918430.

LCM(66330,66339) = 488918430

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Least Common Multiple of 66330 and 66339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66330 and 66339, than apply into the LCM equation.

GCF(66330,66339) = 9
LCM(66330,66339) = ( 66330 × 66339) / 9
LCM(66330,66339) = 4400265870 / 9
LCM(66330,66339) = 488918430

Least Common Multiple (LCM) of 66330 and 66339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66330 and 66339. First we will calculate the prime factors of 66330 and 66339.

Prime Factorization of 66330

Prime factors of 66330 are 2, 3, 5, 11, 67. Prime factorization of 66330 in exponential form is:

66330 = 21 × 32 × 51 × 111 × 671

Prime Factorization of 66339

Prime factors of 66339 are 3, 7, 13. Prime factorization of 66339 in exponential form is:

66339 = 36 × 71 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 66330 and 66339.

LCM(66330,66339) = 21 × 36 × 51 × 111 × 671 × 71 × 131
LCM(66330,66339) = 488918430