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What is the Least Common Multiple of 66630 and 66649?

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 66630 and 66649 is 4440822870.

LCM(66630,66649) = 4440822870

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Least Common Multiple of 66630 and 66649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66630 and 66649, than apply into the LCM equation.

GCF(66630,66649) = 1
LCM(66630,66649) = ( 66630 × 66649) / 1
LCM(66630,66649) = 4440822870 / 1
LCM(66630,66649) = 4440822870

Least Common Multiple (LCM) of 66630 and 66649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66630 and 66649. First we will calculate the prime factors of 66630 and 66649.

Prime Factorization of 66630

Prime factors of 66630 are 2, 3, 5, 2221. Prime factorization of 66630 in exponential form is:

66630 = 21 × 31 × 51 × 22211

Prime Factorization of 66649

Prime factors of 66649 are 11, 73, 83. Prime factorization of 66649 in exponential form is:

66649 = 111 × 731 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 66630 and 66649.

LCM(66630,66649) = 21 × 31 × 51 × 22211 × 111 × 731 × 831
LCM(66630,66649) = 4440822870