What is the Least Common Multiple of 43603 and 43609?
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 43603 and 43609 is 1901483227.
LCM(43603,43609) = 1901483227
Least Common Multiple of 43603 and 43609 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43603 and 43609, than apply into the LCM equation.
GCF(43603,43609) = 1
LCM(43603,43609) = ( 43603 × 43609) / 1
LCM(43603,43609) = 1901483227 / 1
LCM(43603,43609) = 1901483227
Least Common Multiple (LCM) of 43603 and 43609 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43603 and 43609. First we will calculate the prime factors of 43603 and 43609.
Prime Factorization of 43603
Prime factors of 43603 are 7, 6229. Prime factorization of 43603 in exponential form is:
43603 = 71 × 62291
Prime Factorization of 43609
Prime factors of 43609 are 43609. Prime factorization of 43609 in exponential form is:
43609 = 436091
Now multiplying the highest exponent prime factors to calculate the LCM of 43603 and 43609.
LCM(43603,43609) = 71 × 62291 × 436091
LCM(43603,43609) = 1901483227
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