What is the Least Common Multiple of 43634 and 43641?
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 43634 and 43641 is 1904231394.
LCM(43634,43641) = 1904231394
Least Common Multiple of 43634 and 43641 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43634 and 43641, than apply into the LCM equation.
GCF(43634,43641) = 1
LCM(43634,43641) = ( 43634 × 43641) / 1
LCM(43634,43641) = 1904231394 / 1
LCM(43634,43641) = 1904231394
Least Common Multiple (LCM) of 43634 and 43641 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43634 and 43641. First we will calculate the prime factors of 43634 and 43641.
Prime Factorization of 43634
Prime factors of 43634 are 2, 21817. Prime factorization of 43634 in exponential form is:
43634 = 21 × 218171
Prime Factorization of 43641
Prime factors of 43641 are 3, 13, 373. Prime factorization of 43641 in exponential form is:
43641 = 32 × 131 × 3731
Now multiplying the highest exponent prime factors to calculate the LCM of 43634 and 43641.
LCM(43634,43641) = 21 × 218171 × 32 × 131 × 3731
LCM(43634,43641) = 1904231394
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