What is the Least Common Multiple of 99631 and 99638?
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 99631 and 99638 is 1418147654.
LCM(99631,99638) = 1418147654
Least Common Multiple of 99631 and 99638 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99631 and 99638, than apply into the LCM equation.
GCF(99631,99638) = 7
LCM(99631,99638) = ( 99631 × 99638) / 7
LCM(99631,99638) = 9927033578 / 7
LCM(99631,99638) = 1418147654
Least Common Multiple (LCM) of 99631 and 99638 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99631 and 99638. First we will calculate the prime factors of 99631 and 99638.
Prime Factorization of 99631
Prime factors of 99631 are 7, 43, 331. Prime factorization of 99631 in exponential form is:
99631 = 71 × 431 × 3311
Prime Factorization of 99638
Prime factors of 99638 are 2, 7, 11, 647. Prime factorization of 99638 in exponential form is:
99638 = 21 × 71 × 111 × 6471
Now multiplying the highest exponent prime factors to calculate the LCM of 99631 and 99638.
LCM(99631,99638) = 71 × 431 × 3311 × 21 × 111 × 6471
LCM(99631,99638) = 1418147654
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