What is the Least Common Multiple of 40063 and 40081?
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 40063 and 40081 is 1605765103.
LCM(40063,40081) = 1605765103
Least Common Multiple of 40063 and 40081 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40063 and 40081, than apply into the LCM equation.
GCF(40063,40081) = 1
LCM(40063,40081) = ( 40063 × 40081) / 1
LCM(40063,40081) = 1605765103 / 1
LCM(40063,40081) = 1605765103
Least Common Multiple (LCM) of 40063 and 40081 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40063 and 40081. First we will calculate the prime factors of 40063 and 40081.
Prime Factorization of 40063
Prime factors of 40063 are 40063. Prime factorization of 40063 in exponential form is:
40063 = 400631
Prime Factorization of 40081
Prime factors of 40081 are 149, 269. Prime factorization of 40081 in exponential form is:
40081 = 1491 × 2691
Now multiplying the highest exponent prime factors to calculate the LCM of 40063 and 40081.
LCM(40063,40081) = 400631 × 1491 × 2691
LCM(40063,40081) = 1605765103
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