What is the Least Common Multiple of 43658 and 43665?
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 43658 and 43665 is 1906326570.
LCM(43658,43665) = 1906326570
Least Common Multiple of 43658 and 43665 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43658 and 43665, than apply into the LCM equation.
GCF(43658,43665) = 1
LCM(43658,43665) = ( 43658 × 43665) / 1
LCM(43658,43665) = 1906326570 / 1
LCM(43658,43665) = 1906326570
Least Common Multiple (LCM) of 43658 and 43665 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43658 and 43665. First we will calculate the prime factors of 43658 and 43665.
Prime Factorization of 43658
Prime factors of 43658 are 2, 83, 263. Prime factorization of 43658 in exponential form is:
43658 = 21 × 831 × 2631
Prime Factorization of 43665
Prime factors of 43665 are 3, 5, 41, 71. Prime factorization of 43665 in exponential form is:
43665 = 31 × 51 × 411 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 43658 and 43665.
LCM(43658,43665) = 21 × 831 × 2631 × 31 × 51 × 411 × 711
LCM(43658,43665) = 1906326570
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