What is the Least Common Multiple of 92525 and 92531?
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 92525 and 92531 is 8561430775.
LCM(92525,92531) = 8561430775
Least Common Multiple of 92525 and 92531 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92525 and 92531, than apply into the LCM equation.
GCF(92525,92531) = 1
LCM(92525,92531) = ( 92525 × 92531) / 1
LCM(92525,92531) = 8561430775 / 1
LCM(92525,92531) = 8561430775
Least Common Multiple (LCM) of 92525 and 92531 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92525 and 92531. First we will calculate the prime factors of 92525 and 92531.
Prime Factorization of 92525
Prime factors of 92525 are 5, 3701. Prime factorization of 92525 in exponential form is:
92525 = 52 × 37011
Prime Factorization of 92531
Prime factors of 92531 are 17, 5443. Prime factorization of 92531 in exponential form is:
92531 = 171 × 54431
Now multiplying the highest exponent prime factors to calculate the LCM of 92525 and 92531.
LCM(92525,92531) = 52 × 37011 × 171 × 54431
LCM(92525,92531) = 8561430775
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