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What is the Least Common Multiple of 66656 and 66671?

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 66656 and 66671 is 4444022176.

LCM(66656,66671) = 4444022176

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Least Common Multiple of 66656 and 66671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66656 and 66671, than apply into the LCM equation.

GCF(66656,66671) = 1
LCM(66656,66671) = ( 66656 × 66671) / 1
LCM(66656,66671) = 4444022176 / 1
LCM(66656,66671) = 4444022176

Least Common Multiple (LCM) of 66656 and 66671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66656 and 66671. First we will calculate the prime factors of 66656 and 66671.

Prime Factorization of 66656

Prime factors of 66656 are 2, 2083. Prime factorization of 66656 in exponential form is:

66656 = 25 × 20831

Prime Factorization of 66671

Prime factors of 66671 are 11, 19, 29. Prime factorization of 66671 in exponential form is:

66671 = 112 × 191 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 66656 and 66671.

LCM(66656,66671) = 25 × 20831 × 112 × 191 × 291
LCM(66656,66671) = 4444022176