What is the Least Common Multiple of 86533 and 86542?
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 86533 and 86542 is 7488738886.
LCM(86533,86542) = 7488738886
Least Common Multiple of 86533 and 86542 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86533 and 86542, than apply into the LCM equation.
GCF(86533,86542) = 1
LCM(86533,86542) = ( 86533 × 86542) / 1
LCM(86533,86542) = 7488738886 / 1
LCM(86533,86542) = 7488738886
Least Common Multiple (LCM) of 86533 and 86542 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86533 and 86542. First we will calculate the prime factors of 86533 and 86542.
Prime Factorization of 86533
Prime factors of 86533 are 86533. Prime factorization of 86533 in exponential form is:
86533 = 865331
Prime Factorization of 86542
Prime factors of 86542 are 2, 43271. Prime factorization of 86542 in exponential form is:
86542 = 21 × 432711
Now multiplying the highest exponent prime factors to calculate the LCM of 86533 and 86542.
LCM(86533,86542) = 865331 × 21 × 432711
LCM(86533,86542) = 7488738886
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