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What is the Least Common Multiple of 66495 and 66508?

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 66495 and 66508 is 340188420.

LCM(66495,66508) = 340188420

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Least Common Multiple of 66495 and 66508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66495 and 66508, than apply into the LCM equation.

GCF(66495,66508) = 13
LCM(66495,66508) = ( 66495 × 66508) / 13
LCM(66495,66508) = 4422449460 / 13
LCM(66495,66508) = 340188420

Least Common Multiple (LCM) of 66495 and 66508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66495 and 66508. First we will calculate the prime factors of 66495 and 66508.

Prime Factorization of 66495

Prime factors of 66495 are 3, 5, 11, 13, 31. Prime factorization of 66495 in exponential form is:

66495 = 31 × 51 × 111 × 131 × 311

Prime Factorization of 66508

Prime factors of 66508 are 2, 13, 1279. Prime factorization of 66508 in exponential form is:

66508 = 22 × 131 × 12791

Now multiplying the highest exponent prime factors to calculate the LCM of 66495 and 66508.

LCM(66495,66508) = 31 × 51 × 111 × 131 × 311 × 22 × 12791
LCM(66495,66508) = 340188420