What is the Least Common Multiple of 86522 and 86537?
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 86522 and 86537 is 7487354314.
LCM(86522,86537) = 7487354314
Least Common Multiple of 86522 and 86537 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86522 and 86537, than apply into the LCM equation.
GCF(86522,86537) = 1
LCM(86522,86537) = ( 86522 × 86537) / 1
LCM(86522,86537) = 7487354314 / 1
LCM(86522,86537) = 7487354314
Least Common Multiple (LCM) of 86522 and 86537 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86522 and 86537. First we will calculate the prime factors of 86522 and 86537.
Prime Factorization of 86522
Prime factors of 86522 are 2, 43261. Prime factorization of 86522 in exponential form is:
86522 = 21 × 432611
Prime Factorization of 86537
Prime factors of 86537 are 11, 7867. Prime factorization of 86537 in exponential form is:
86537 = 111 × 78671
Now multiplying the highest exponent prime factors to calculate the LCM of 86522 and 86537.
LCM(86522,86537) = 21 × 432611 × 111 × 78671
LCM(86522,86537) = 7487354314
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