What is the Least Common Multiple of 40331 and 40351?
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 40331 and 40351 is 1627396181.
LCM(40331,40351) = 1627396181
Least Common Multiple of 40331 and 40351 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40331 and 40351, than apply into the LCM equation.
GCF(40331,40351) = 1
LCM(40331,40351) = ( 40331 × 40351) / 1
LCM(40331,40351) = 1627396181 / 1
LCM(40331,40351) = 1627396181
Least Common Multiple (LCM) of 40331 and 40351 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40331 and 40351. First we will calculate the prime factors of 40331 and 40351.
Prime Factorization of 40331
Prime factors of 40331 are 31, 1301. Prime factorization of 40331 in exponential form is:
40331 = 311 × 13011
Prime Factorization of 40351
Prime factors of 40351 are 40351. Prime factorization of 40351 in exponential form is:
40351 = 403511
Now multiplying the highest exponent prime factors to calculate the LCM of 40331 and 40351.
LCM(40331,40351) = 311 × 13011 × 403511
LCM(40331,40351) = 1627396181
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