What is the Least Common Multiple of 40163 and 40182?
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 40163 and 40182 is 1613829666.
LCM(40163,40182) = 1613829666
Least Common Multiple of 40163 and 40182 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40163 and 40182, than apply into the LCM equation.
GCF(40163,40182) = 1
LCM(40163,40182) = ( 40163 × 40182) / 1
LCM(40163,40182) = 1613829666 / 1
LCM(40163,40182) = 1613829666
Least Common Multiple (LCM) of 40163 and 40182 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40163 and 40182. First we will calculate the prime factors of 40163 and 40182.
Prime Factorization of 40163
Prime factors of 40163 are 40163. Prime factorization of 40163 in exponential form is:
40163 = 401631
Prime Factorization of 40182
Prime factors of 40182 are 2, 3, 37, 181. Prime factorization of 40182 in exponential form is:
40182 = 21 × 31 × 371 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 40163 and 40182.
LCM(40163,40182) = 401631 × 21 × 31 × 371 × 1811
LCM(40163,40182) = 1613829666
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