What is the Least Common Multiple of 43163 and 43169?
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 43163 and 43169 is 1863303547.
LCM(43163,43169) = 1863303547
Least Common Multiple of 43163 and 43169 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43163 and 43169, than apply into the LCM equation.
GCF(43163,43169) = 1
LCM(43163,43169) = ( 43163 × 43169) / 1
LCM(43163,43169) = 1863303547 / 1
LCM(43163,43169) = 1863303547
Least Common Multiple (LCM) of 43163 and 43169 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43163 and 43169. First we will calculate the prime factors of 43163 and 43169.
Prime Factorization of 43163
Prime factors of 43163 are 17, 2539. Prime factorization of 43163 in exponential form is:
43163 = 171 × 25391
Prime Factorization of 43169
Prime factors of 43169 are 7, 881. Prime factorization of 43169 in exponential form is:
43169 = 72 × 8811
Now multiplying the highest exponent prime factors to calculate the LCM of 43163 and 43169.
LCM(43163,43169) = 171 × 25391 × 72 × 8811
LCM(43163,43169) = 1863303547
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