What is the Least Common Multiple of 86567 and 86573?
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 86567 and 86573 is 7494364891.
LCM(86567,86573) = 7494364891
Least Common Multiple of 86567 and 86573 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86567 and 86573, than apply into the LCM equation.
GCF(86567,86573) = 1
LCM(86567,86573) = ( 86567 × 86573) / 1
LCM(86567,86573) = 7494364891 / 1
LCM(86567,86573) = 7494364891
Least Common Multiple (LCM) of 86567 and 86573 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86567 and 86573. First we will calculate the prime factors of 86567 and 86573.
Prime Factorization of 86567
Prime factors of 86567 are 13, 6659. Prime factorization of 86567 in exponential form is:
86567 = 131 × 66591
Prime Factorization of 86573
Prime factors of 86573 are 86573. Prime factorization of 86573 in exponential form is:
86573 = 865731
Now multiplying the highest exponent prime factors to calculate the LCM of 86567 and 86573.
LCM(86567,86573) = 131 × 66591 × 865731
LCM(86567,86573) = 7494364891
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