What is the Least Common Multiple of 43030 and 43041?
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 43030 and 43041 is 1852054230.
LCM(43030,43041) = 1852054230
Least Common Multiple of 43030 and 43041 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43030 and 43041, than apply into the LCM equation.
GCF(43030,43041) = 1
LCM(43030,43041) = ( 43030 × 43041) / 1
LCM(43030,43041) = 1852054230 / 1
LCM(43030,43041) = 1852054230
Least Common Multiple (LCM) of 43030 and 43041 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43030 and 43041. First we will calculate the prime factors of 43030 and 43041.
Prime Factorization of 43030
Prime factors of 43030 are 2, 5, 13, 331. Prime factorization of 43030 in exponential form is:
43030 = 21 × 51 × 131 × 3311
Prime Factorization of 43041
Prime factors of 43041 are 3, 14347. Prime factorization of 43041 in exponential form is:
43041 = 31 × 143471
Now multiplying the highest exponent prime factors to calculate the LCM of 43030 and 43041.
LCM(43030,43041) = 21 × 51 × 131 × 3311 × 31 × 143471
LCM(43030,43041) = 1852054230
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