What is the Least Common Multiple of 86631 and 86638?
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 86631 and 86638 is 7505536578.
LCM(86631,86638) = 7505536578
Least Common Multiple of 86631 and 86638 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86631 and 86638, than apply into the LCM equation.
GCF(86631,86638) = 1
LCM(86631,86638) = ( 86631 × 86638) / 1
LCM(86631,86638) = 7505536578 / 1
LCM(86631,86638) = 7505536578
Least Common Multiple (LCM) of 86631 and 86638 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86631 and 86638. First we will calculate the prime factors of 86631 and 86638.
Prime Factorization of 86631
Prime factors of 86631 are 3, 67, 431. Prime factorization of 86631 in exponential form is:
86631 = 31 × 671 × 4311
Prime Factorization of 86638
Prime factors of 86638 are 2, 43319. Prime factorization of 86638 in exponential form is:
86638 = 21 × 433191
Now multiplying the highest exponent prime factors to calculate the LCM of 86631 and 86638.
LCM(86631,86638) = 31 × 671 × 4311 × 21 × 433191
LCM(86631,86638) = 7505536578
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