What is the Least Common Multiple of 43849 and 43853?
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 43849 and 43853 is 1922910197.
LCM(43849,43853) = 1922910197
Least Common Multiple of 43849 and 43853 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43849 and 43853, than apply into the LCM equation.
GCF(43849,43853) = 1
LCM(43849,43853) = ( 43849 × 43853) / 1
LCM(43849,43853) = 1922910197 / 1
LCM(43849,43853) = 1922910197
Least Common Multiple (LCM) of 43849 and 43853 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43849 and 43853. First we will calculate the prime factors of 43849 and 43853.
Prime Factorization of 43849
Prime factors of 43849 are 13, 3373. Prime factorization of 43849 in exponential form is:
43849 = 131 × 33731
Prime Factorization of 43853
Prime factors of 43853 are 43853. Prime factorization of 43853 in exponential form is:
43853 = 438531
Now multiplying the highest exponent prime factors to calculate the LCM of 43849 and 43853.
LCM(43849,43853) = 131 × 33731 × 438531
LCM(43849,43853) = 1922910197
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