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What is the Least Common Multiple of 66652 and 66656?

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 66652 and 66656 is 1110688928.

LCM(66652,66656) = 1110688928

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Least Common Multiple of 66652 and 66656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66652 and 66656, than apply into the LCM equation.

GCF(66652,66656) = 4
LCM(66652,66656) = ( 66652 × 66656) / 4
LCM(66652,66656) = 4442755712 / 4
LCM(66652,66656) = 1110688928

Least Common Multiple (LCM) of 66652 and 66656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66652 and 66656. First we will calculate the prime factors of 66652 and 66656.

Prime Factorization of 66652

Prime factors of 66652 are 2, 19, 877. Prime factorization of 66652 in exponential form is:

66652 = 22 × 191 × 8771

Prime Factorization of 66656

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

66656 = 25 × 20831

Now multiplying the highest exponent prime factors to calculate the LCM of 66652 and 66656.

LCM(66652,66656) = 25 × 191 × 8771 × 20831
LCM(66652,66656) = 1110688928