What is the Least Common Multiple of 32437 and 32444?
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 32444 is 1052386028.
LCM(32437,32444) = 1052386028
Least Common Multiple of 32437 and 32444 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 32444, than apply into the LCM equation.
GCF(32437,32444) = 1
LCM(32437,32444) = ( 32437 × 32444) / 1
LCM(32437,32444) = 1052386028 / 1
LCM(32437,32444) = 1052386028
Least Common Multiple (LCM) of 32437 and 32444 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32437 and 32444. First we will calculate the prime factors of 32437 and 32444.
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 32444
Prime factors of 32444 are 2, 8111. Prime factorization of 32444 in exponential form is:
32444 = 22 × 81111
Now multiplying the highest exponent prime factors to calculate the LCM of 32437 and 32444.
LCM(32437,32444) = 1631 × 1991 × 22 × 81111
LCM(32437,32444) = 1052386028
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