What is the Least Common Multiple of 43159 and 43178?
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 43178 is 1863519302.
LCM(43159,43178) = 1863519302
Least Common Multiple of 43159 and 43178 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 43178, than apply into the LCM equation.
GCF(43159,43178) = 1
LCM(43159,43178) = ( 43159 × 43178) / 1
LCM(43159,43178) = 1863519302 / 1
LCM(43159,43178) = 1863519302
Least Common Multiple (LCM) of 43159 and 43178 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43159 and 43178. First we will calculate the prime factors of 43159 and 43178.
Prime Factorization of 43159
Prime factors of 43159 are 43159. Prime factorization of 43159 in exponential form is:
43159 = 431591
Prime Factorization of 43178
Prime factors of 43178 are 2, 21589. Prime factorization of 43178 in exponential form is:
43178 = 21 × 215891
Now multiplying the highest exponent prime factors to calculate the LCM of 43159 and 43178.
LCM(43159,43178) = 431591 × 21 × 215891
LCM(43159,43178) = 1863519302
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