What is the Least Common Multiple of 41941 and 41945?
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 41941 and 41945 is 1759215245.
LCM(41941,41945) = 1759215245
Least Common Multiple of 41941 and 41945 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41941 and 41945, than apply into the LCM equation.
GCF(41941,41945) = 1
LCM(41941,41945) = ( 41941 × 41945) / 1
LCM(41941,41945) = 1759215245 / 1
LCM(41941,41945) = 1759215245
Least Common Multiple (LCM) of 41941 and 41945 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41941 and 41945. First we will calculate the prime factors of 41941 and 41945.
Prime Factorization of 41941
Prime factors of 41941 are 41941. Prime factorization of 41941 in exponential form is:
41941 = 419411
Prime Factorization of 41945
Prime factors of 41945 are 5, 8389. Prime factorization of 41945 in exponential form is:
41945 = 51 × 83891
Now multiplying the highest exponent prime factors to calculate the LCM of 41941 and 41945.
LCM(41941,41945) = 419411 × 51 × 83891
LCM(41941,41945) = 1759215245
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