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What is the Least Common Multiple of 41636 and 41652?

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 41636 and 41652 is 433555668.

LCM(41636,41652) = 433555668

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Least Common Multiple of 41636 and 41652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41636 and 41652, than apply into the LCM equation.

GCF(41636,41652) = 4
LCM(41636,41652) = ( 41636 × 41652) / 4
LCM(41636,41652) = 1734222672 / 4
LCM(41636,41652) = 433555668

Least Common Multiple (LCM) of 41636 and 41652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41636 and 41652. First we will calculate the prime factors of 41636 and 41652.

Prime Factorization of 41636

Prime factors of 41636 are 2, 7, 1487. Prime factorization of 41636 in exponential form is:

41636 = 22 × 71 × 14871

Prime Factorization of 41652

Prime factors of 41652 are 2, 3, 13, 89. Prime factorization of 41652 in exponential form is:

41652 = 22 × 32 × 131 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 41636 and 41652.

LCM(41636,41652) = 22 × 71 × 14871 × 32 × 131 × 891
LCM(41636,41652) = 433555668