What is the Least Common Multiple of 40283 and 40291?
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 40283 and 40291 is 1623042353.
LCM(40283,40291) = 1623042353
Least Common Multiple of 40283 and 40291 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40283 and 40291, than apply into the LCM equation.
GCF(40283,40291) = 1
LCM(40283,40291) = ( 40283 × 40291) / 1
LCM(40283,40291) = 1623042353 / 1
LCM(40283,40291) = 1623042353
Least Common Multiple (LCM) of 40283 and 40291 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40283 and 40291. First we will calculate the prime factors of 40283 and 40291.
Prime Factorization of 40283
Prime factors of 40283 are 40283. Prime factorization of 40283 in exponential form is:
40283 = 402831
Prime Factorization of 40291
Prime factors of 40291 are 43, 937. Prime factorization of 40291 in exponential form is:
40291 = 431 × 9371
Now multiplying the highest exponent prime factors to calculate the LCM of 40283 and 40291.
LCM(40283,40291) = 402831 × 431 × 9371
LCM(40283,40291) = 1623042353
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