What is the Least Common Multiple of 41908 and 41927?
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 41908 and 41927 is 1757076716.
LCM(41908,41927) = 1757076716
Least Common Multiple of 41908 and 41927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41908 and 41927, than apply into the LCM equation.
GCF(41908,41927) = 1
LCM(41908,41927) = ( 41908 × 41927) / 1
LCM(41908,41927) = 1757076716 / 1
LCM(41908,41927) = 1757076716
Least Common Multiple (LCM) of 41908 and 41927 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41908 and 41927. First we will calculate the prime factors of 41908 and 41927.
Prime Factorization of 41908
Prime factors of 41908 are 2, 10477. Prime factorization of 41908 in exponential form is:
41908 = 22 × 104771
Prime Factorization of 41927
Prime factors of 41927 are 41927. Prime factorization of 41927 in exponential form is:
41927 = 419271
Now multiplying the highest exponent prime factors to calculate the LCM of 41908 and 41927.
LCM(41908,41927) = 22 × 104771 × 419271
LCM(41908,41927) = 1757076716
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