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What is the Least Common Multiple of 43745 and 43763?

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 43745 and 43763 is 1914412435.

LCM(43745,43763) = 1914412435

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Least Common Multiple of 43745 and 43763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43745 and 43763, than apply into the LCM equation.

GCF(43745,43763) = 1
LCM(43745,43763) = ( 43745 × 43763) / 1
LCM(43745,43763) = 1914412435 / 1
LCM(43745,43763) = 1914412435

Least Common Multiple (LCM) of 43745 and 43763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43745 and 43763. First we will calculate the prime factors of 43745 and 43763.

Prime Factorization of 43745

Prime factors of 43745 are 5, 13, 673. Prime factorization of 43745 in exponential form is:

43745 = 51 × 131 × 6731

Prime Factorization of 43763

Prime factors of 43763 are 107, 409. Prime factorization of 43763 in exponential form is:

43763 = 1071 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 43745 and 43763.

LCM(43745,43763) = 51 × 131 × 6731 × 1071 × 4091
LCM(43745,43763) = 1914412435