What is the Least Common Multiple of 40037 and 40055?
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 40037 and 40055 is 1603682035.
LCM(40037,40055) = 1603682035
Least Common Multiple of 40037 and 40055 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40037 and 40055, than apply into the LCM equation.
GCF(40037,40055) = 1
LCM(40037,40055) = ( 40037 × 40055) / 1
LCM(40037,40055) = 1603682035 / 1
LCM(40037,40055) = 1603682035
Least Common Multiple (LCM) of 40037 and 40055 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40037 and 40055. First we will calculate the prime factors of 40037 and 40055.
Prime Factorization of 40037
Prime factors of 40037 are 40037. Prime factorization of 40037 in exponential form is:
40037 = 400371
Prime Factorization of 40055
Prime factors of 40055 are 5, 8011. Prime factorization of 40055 in exponential form is:
40055 = 51 × 80111
Now multiplying the highest exponent prime factors to calculate the LCM of 40037 and 40055.
LCM(40037,40055) = 400371 × 51 × 80111
LCM(40037,40055) = 1603682035
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