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What is the Least Common Multiple of 41528 and 41538?

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 41528 and 41538 is 862495032.

LCM(41528,41538) = 862495032

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Least Common Multiple of 41528 and 41538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41528 and 41538, than apply into the LCM equation.

GCF(41528,41538) = 2
LCM(41528,41538) = ( 41528 × 41538) / 2
LCM(41528,41538) = 1724990064 / 2
LCM(41528,41538) = 862495032

Least Common Multiple (LCM) of 41528 and 41538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41528 and 41538. First we will calculate the prime factors of 41528 and 41538.

Prime Factorization of 41528

Prime factors of 41528 are 2, 29, 179. Prime factorization of 41528 in exponential form is:

41528 = 23 × 291 × 1791

Prime Factorization of 41538

Prime factors of 41538 are 2, 3, 7, 23, 43. Prime factorization of 41538 in exponential form is:

41538 = 21 × 31 × 71 × 231 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 41528 and 41538.

LCM(41528,41538) = 23 × 291 × 1791 × 31 × 71 × 231 × 431
LCM(41528,41538) = 862495032