What is the Least Common Multiple of 92515 and 92527?
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 92515 and 92527 is 8560135405.
LCM(92515,92527) = 8560135405
Least Common Multiple of 92515 and 92527 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92515 and 92527, than apply into the LCM equation.
GCF(92515,92527) = 1
LCM(92515,92527) = ( 92515 × 92527) / 1
LCM(92515,92527) = 8560135405 / 1
LCM(92515,92527) = 8560135405
Least Common Multiple (LCM) of 92515 and 92527 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92515 and 92527. First we will calculate the prime factors of 92515 and 92527.
Prime Factorization of 92515
Prime factors of 92515 are 5, 18503. Prime factorization of 92515 in exponential form is:
92515 = 51 × 185031
Prime Factorization of 92527
Prime factors of 92527 are 67, 1381. Prime factorization of 92527 in exponential form is:
92527 = 671 × 13811
Now multiplying the highest exponent prime factors to calculate the LCM of 92515 and 92527.
LCM(92515,92527) = 51 × 185031 × 671 × 13811
LCM(92515,92527) = 8560135405
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