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What is the Least Common Multiple of 66658 and 66662?

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 66658 and 66662 is 2221777798.

LCM(66658,66662) = 2221777798

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Least Common Multiple of 66658 and 66662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66658 and 66662, than apply into the LCM equation.

GCF(66658,66662) = 2
LCM(66658,66662) = ( 66658 × 66662) / 2
LCM(66658,66662) = 4443555596 / 2
LCM(66658,66662) = 2221777798

Least Common Multiple (LCM) of 66658 and 66662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66658 and 66662. First we will calculate the prime factors of 66658 and 66662.

Prime Factorization of 66658

Prime factors of 66658 are 2, 33329. Prime factorization of 66658 in exponential form is:

66658 = 21 × 333291

Prime Factorization of 66662

Prime factors of 66662 are 2, 33331. Prime factorization of 66662 in exponential form is:

66662 = 21 × 333311

Now multiplying the highest exponent prime factors to calculate the LCM of 66658 and 66662.

LCM(66658,66662) = 21 × 333291 × 333311
LCM(66658,66662) = 2221777798