What is the Least Common Multiple of 43532 and 43537?
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 43532 and 43537 is 1895252684.
LCM(43532,43537) = 1895252684
Least Common Multiple of 43532 and 43537 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43532 and 43537, than apply into the LCM equation.
GCF(43532,43537) = 1
LCM(43532,43537) = ( 43532 × 43537) / 1
LCM(43532,43537) = 1895252684 / 1
LCM(43532,43537) = 1895252684
Least Common Multiple (LCM) of 43532 and 43537 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43532 and 43537. First we will calculate the prime factors of 43532 and 43537.
Prime Factorization of 43532
Prime factors of 43532 are 2, 10883. Prime factorization of 43532 in exponential form is:
43532 = 22 × 108831
Prime Factorization of 43537
Prime factors of 43537 are 13, 17, 197. Prime factorization of 43537 in exponential form is:
43537 = 131 × 171 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 43532 and 43537.
LCM(43532,43537) = 22 × 108831 × 131 × 171 × 1971
LCM(43532,43537) = 1895252684
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