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What is the Least Common Multiple of 43627 and 43645?

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 43627 and 43645 is 1904100415.

LCM(43627,43645) = 1904100415

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Least Common Multiple of 43627 and 43645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43627 and 43645, than apply into the LCM equation.

GCF(43627,43645) = 1
LCM(43627,43645) = ( 43627 × 43645) / 1
LCM(43627,43645) = 1904100415 / 1
LCM(43627,43645) = 1904100415

Least Common Multiple (LCM) of 43627 and 43645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43627 and 43645. First we will calculate the prime factors of 43627 and 43645.

Prime Factorization of 43627

Prime factors of 43627 are 43627. Prime factorization of 43627 in exponential form is:

43627 = 436271

Prime Factorization of 43645

Prime factors of 43645 are 5, 7, 29, 43. Prime factorization of 43645 in exponential form is:

43645 = 51 × 71 × 291 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 43627 and 43645.

LCM(43627,43645) = 436271 × 51 × 71 × 291 × 431
LCM(43627,43645) = 1904100415