What is the Least Common Multiple of 41437 and 41453?
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 41437 and 41453 is 1717687961.
LCM(41437,41453) = 1717687961
Least Common Multiple of 41437 and 41453 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41437 and 41453, than apply into the LCM equation.
GCF(41437,41453) = 1
LCM(41437,41453) = ( 41437 × 41453) / 1
LCM(41437,41453) = 1717687961 / 1
LCM(41437,41453) = 1717687961
Least Common Multiple (LCM) of 41437 and 41453 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41437 and 41453. First we will calculate the prime factors of 41437 and 41453.
Prime Factorization of 41437
Prime factors of 41437 are 11, 3767. Prime factorization of 41437 in exponential form is:
41437 = 111 × 37671
Prime Factorization of 41453
Prime factors of 41453 are 41453. Prime factorization of 41453 in exponential form is:
41453 = 414531
Now multiplying the highest exponent prime factors to calculate the LCM of 41437 and 41453.
LCM(41437,41453) = 111 × 37671 × 414531
LCM(41437,41453) = 1717687961
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