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What is the Least Common Multiple of 41660 and 41675?

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 41660 and 41675 is 347236100.

LCM(41660,41675) = 347236100

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Least Common Multiple of 41660 and 41675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41660 and 41675, than apply into the LCM equation.

GCF(41660,41675) = 5
LCM(41660,41675) = ( 41660 × 41675) / 5
LCM(41660,41675) = 1736180500 / 5
LCM(41660,41675) = 347236100

Least Common Multiple (LCM) of 41660 and 41675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41660 and 41675. First we will calculate the prime factors of 41660 and 41675.

Prime Factorization of 41660

Prime factors of 41660 are 2, 5, 2083. Prime factorization of 41660 in exponential form is:

41660 = 22 × 51 × 20831

Prime Factorization of 41675

Prime factors of 41675 are 5, 1667. Prime factorization of 41675 in exponential form is:

41675 = 52 × 16671

Now multiplying the highest exponent prime factors to calculate the LCM of 41660 and 41675.

LCM(41660,41675) = 22 × 52 × 20831 × 16671
LCM(41660,41675) = 347236100