What is the Least Common Multiple of 40087 and 40099?
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 40087 and 40099 is 1607448613.
LCM(40087,40099) = 1607448613
Least Common Multiple of 40087 and 40099 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40087 and 40099, than apply into the LCM equation.
GCF(40087,40099) = 1
LCM(40087,40099) = ( 40087 × 40099) / 1
LCM(40087,40099) = 1607448613 / 1
LCM(40087,40099) = 1607448613
Least Common Multiple (LCM) of 40087 and 40099 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40087 and 40099. First we will calculate the prime factors of 40087 and 40099.
Prime Factorization of 40087
Prime factors of 40087 are 40087. Prime factorization of 40087 in exponential form is:
40087 = 400871
Prime Factorization of 40099
Prime factors of 40099 are 40099. Prime factorization of 40099 in exponential form is:
40099 = 400991
Now multiplying the highest exponent prime factors to calculate the LCM of 40087 and 40099.
LCM(40087,40099) = 400871 × 400991
LCM(40087,40099) = 1607448613
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