What is the Least Common Multiple of 41081 and 41101?
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 41081 and 41101 is 1688470181.
LCM(41081,41101) = 1688470181
Least Common Multiple of 41081 and 41101 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41081 and 41101, than apply into the LCM equation.
GCF(41081,41101) = 1
LCM(41081,41101) = ( 41081 × 41101) / 1
LCM(41081,41101) = 1688470181 / 1
LCM(41081,41101) = 1688470181
Least Common Multiple (LCM) of 41081 and 41101 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41081 and 41101. First we will calculate the prime factors of 41081 and 41101.
Prime Factorization of 41081
Prime factors of 41081 are 41081. Prime factorization of 41081 in exponential form is:
41081 = 410811
Prime Factorization of 41101
Prime factors of 41101 are 23, 1787. Prime factorization of 41101 in exponential form is:
41101 = 231 × 17871
Now multiplying the highest exponent prime factors to calculate the LCM of 41081 and 41101.
LCM(41081,41101) = 410811 × 231 × 17871
LCM(41081,41101) = 1688470181
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