What is the Least Common Multiple of 43159 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 43159 and 43169 is 1863130871.
LCM(43159,43169) = 1863130871
Least Common Multiple of 43159 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 43159 and 43169, than apply into the LCM equation.
GCF(43159,43169) = 1
LCM(43159,43169) = ( 43159 × 43169) / 1
LCM(43159,43169) = 1863130871 / 1
LCM(43159,43169) = 1863130871
Least Common Multiple (LCM) of 43159 and 43169 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43159 and 43169. First we will calculate the prime factors of 43159 and 43169.
Prime Factorization of 43159
Prime factors of 43159 are 43159. Prime factorization of 43159 in exponential form is:
43159 = 431591
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 43159 and 43169.
LCM(43159,43169) = 431591 × 72 × 8811
LCM(43159,43169) = 1863130871
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