What is the Least Common Multiple of 43159 and 43179?
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 43179 is 1863562461.
LCM(43159,43179) = 1863562461
Least Common Multiple of 43159 and 43179 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 43179, than apply into the LCM equation.
GCF(43159,43179) = 1
LCM(43159,43179) = ( 43159 × 43179) / 1
LCM(43159,43179) = 1863562461 / 1
LCM(43159,43179) = 1863562461
Least Common Multiple (LCM) of 43159 and 43179 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43159 and 43179. First we will calculate the prime factors of 43159 and 43179.
Prime Factorization of 43159
Prime factors of 43159 are 43159. Prime factorization of 43159 in exponential form is:
43159 = 431591
Prime Factorization of 43179
Prime factors of 43179 are 3, 37, 389. Prime factorization of 43179 in exponential form is:
43179 = 31 × 371 × 3891
Now multiplying the highest exponent prime factors to calculate the LCM of 43159 and 43179.
LCM(43159,43179) = 431591 × 31 × 371 × 3891
LCM(43159,43179) = 1863562461
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