What is the Least Common Multiple of 43165 and 43181?
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 43165 and 43181 is 1863907865.
LCM(43165,43181) = 1863907865
Least Common Multiple of 43165 and 43181 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43165 and 43181, than apply into the LCM equation.
GCF(43165,43181) = 1
LCM(43165,43181) = ( 43165 × 43181) / 1
LCM(43165,43181) = 1863907865 / 1
LCM(43165,43181) = 1863907865
Least Common Multiple (LCM) of 43165 and 43181 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43165 and 43181. First we will calculate the prime factors of 43165 and 43181.
Prime Factorization of 43165
Prime factors of 43165 are 5, 89, 97. Prime factorization of 43165 in exponential form is:
43165 = 51 × 891 × 971
Prime Factorization of 43181
Prime factors of 43181 are 29, 1489. Prime factorization of 43181 in exponential form is:
43181 = 291 × 14891
Now multiplying the highest exponent prime factors to calculate the LCM of 43165 and 43181.
LCM(43165,43181) = 51 × 891 × 971 × 291 × 14891
LCM(43165,43181) = 1863907865
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