What is the Least Common Multiple of 41641 and 41651?
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 41641 and 41651 is 1734389291.
LCM(41641,41651) = 1734389291
Least Common Multiple of 41641 and 41651 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41641 and 41651, than apply into the LCM equation.
GCF(41641,41651) = 1
LCM(41641,41651) = ( 41641 × 41651) / 1
LCM(41641,41651) = 1734389291 / 1
LCM(41641,41651) = 1734389291
Least Common Multiple (LCM) of 41641 and 41651 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41641 and 41651. First we will calculate the prime factors of 41641 and 41651.
Prime Factorization of 41641
Prime factors of 41641 are 41641. Prime factorization of 41641 in exponential form is:
41641 = 416411
Prime Factorization of 41651
Prime factors of 41651 are 41651. Prime factorization of 41651 in exponential form is:
41651 = 416511
Now multiplying the highest exponent prime factors to calculate the LCM of 41641 and 41651.
LCM(41641,41651) = 416411 × 416511
LCM(41641,41651) = 1734389291
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