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What is the Least Common Multiple of 43885 and 43892?

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 43885 and 43892 is 1926200420.

LCM(43885,43892) = 1926200420

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Least Common Multiple of 43885 and 43892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43885 and 43892, than apply into the LCM equation.

GCF(43885,43892) = 1
LCM(43885,43892) = ( 43885 × 43892) / 1
LCM(43885,43892) = 1926200420 / 1
LCM(43885,43892) = 1926200420

Least Common Multiple (LCM) of 43885 and 43892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43885 and 43892. First we will calculate the prime factors of 43885 and 43892.

Prime Factorization of 43885

Prime factors of 43885 are 5, 67, 131. Prime factorization of 43885 in exponential form is:

43885 = 51 × 671 × 1311

Prime Factorization of 43892

Prime factors of 43892 are 2, 10973. Prime factorization of 43892 in exponential form is:

43892 = 22 × 109731

Now multiplying the highest exponent prime factors to calculate the LCM of 43885 and 43892.

LCM(43885,43892) = 51 × 671 × 1311 × 22 × 109731
LCM(43885,43892) = 1926200420