What is the Least Common Multiple of 41067 and 41087?
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 41087 is 1687319829.
LCM(41067,41087) = 1687319829
Least Common Multiple of 41067 and 41087 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 41087, than apply into the LCM equation.
GCF(41067,41087) = 1
LCM(41067,41087) = ( 41067 × 41087) / 1
LCM(41067,41087) = 1687319829 / 1
LCM(41067,41087) = 1687319829
Least Common Multiple (LCM) of 41067 and 41087 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41067 and 41087. First we will calculate the prime factors of 41067 and 41087.
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 41087
Prime factors of 41087 are 181, 227. Prime factorization of 41087 in exponential form is:
41087 = 1811 × 2271
Now multiplying the highest exponent prime factors to calculate the LCM of 41067 and 41087.
LCM(41067,41087) = 35 × 132 × 1811 × 2271
LCM(41067,41087) = 1687319829
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