What is the Least Common Multiple of 41067 and 41071?
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 41067 and 41071 is 1686662757.
LCM(41067,41071) = 1686662757
Least Common Multiple of 41067 and 41071 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41067 and 41071, than apply into the LCM equation.
GCF(41067,41071) = 1
LCM(41067,41071) = ( 41067 × 41071) / 1
LCM(41067,41071) = 1686662757 / 1
LCM(41067,41071) = 1686662757
Least Common Multiple (LCM) of 41067 and 41071 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41067 and 41071. First we will calculate the prime factors of 41067 and 41071.
Prime Factorization of 41067
Prime factors of 41067 are 3, 13. Prime factorization of 41067 in exponential form is:
41067 = 35 × 132
Prime Factorization of 41071
Prime factors of 41071 are 67, 613. Prime factorization of 41071 in exponential form is:
41071 = 671 × 6131
Now multiplying the highest exponent prime factors to calculate the LCM of 41067 and 41071.
LCM(41067,41071) = 35 × 132 × 671 × 6131
LCM(41067,41071) = 1686662757
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