What is the Least Common Multiple of 32437 and 32443?
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 32437 and 32443 is 1052353591.
LCM(32437,32443) = 1052353591
Least Common Multiple of 32437 and 32443 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32437 and 32443, than apply into the LCM equation.
GCF(32437,32443) = 1
LCM(32437,32443) = ( 32437 × 32443) / 1
LCM(32437,32443) = 1052353591 / 1
LCM(32437,32443) = 1052353591
Least Common Multiple (LCM) of 32437 and 32443 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32437 and 32443. First we will calculate the prime factors of 32437 and 32443.
Prime Factorization of 32437
Prime factors of 32437 are 163, 199. Prime factorization of 32437 in exponential form is:
32437 = 1631 × 1991
Prime Factorization of 32443
Prime factors of 32443 are 32443. Prime factorization of 32443 in exponential form is:
32443 = 324431
Now multiplying the highest exponent prime factors to calculate the LCM of 32437 and 32443.
LCM(32437,32443) = 1631 × 1991 × 324431
LCM(32437,32443) = 1052353591
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