What is the Least Common Multiple of 41927 and 41937?
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 41927 and 41937 is 1758292599.
LCM(41927,41937) = 1758292599
Least Common Multiple of 41927 and 41937 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41927 and 41937, than apply into the LCM equation.
GCF(41927,41937) = 1
LCM(41927,41937) = ( 41927 × 41937) / 1
LCM(41927,41937) = 1758292599 / 1
LCM(41927,41937) = 1758292599
Least Common Multiple (LCM) of 41927 and 41937 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41927 and 41937. First we will calculate the prime factors of 41927 and 41937.
Prime Factorization of 41927
Prime factors of 41927 are 41927. Prime factorization of 41927 in exponential form is:
41927 = 419271
Prime Factorization of 41937
Prime factors of 41937 are 3, 7, 1997. Prime factorization of 41937 in exponential form is:
41937 = 31 × 71 × 19971
Now multiplying the highest exponent prime factors to calculate the LCM of 41927 and 41937.
LCM(41927,41937) = 419271 × 31 × 71 × 19971
LCM(41927,41937) = 1758292599
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