What is the Least Common Multiple of 41065 and 41085?
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 41065 and 41085 is 337431105.
LCM(41065,41085) = 337431105
Least Common Multiple of 41065 and 41085 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41065 and 41085, than apply into the LCM equation.
GCF(41065,41085) = 5
LCM(41065,41085) = ( 41065 × 41085) / 5
LCM(41065,41085) = 1687155525 / 5
LCM(41065,41085) = 337431105
Least Common Multiple (LCM) of 41065 and 41085 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41065 and 41085. First we will calculate the prime factors of 41065 and 41085.
Prime Factorization of 41065
Prime factors of 41065 are 5, 43, 191. Prime factorization of 41065 in exponential form is:
41065 = 51 × 431 × 1911
Prime Factorization of 41085
Prime factors of 41085 are 3, 5, 11, 83. Prime factorization of 41085 in exponential form is:
41085 = 32 × 51 × 111 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 41065 and 41085.
LCM(41065,41085) = 51 × 431 × 1911 × 32 × 111 × 831
LCM(41065,41085) = 337431105
Related Least Common Multiples of 41065
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Related Least Common Multiples of 41085
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