What is the Least Common Multiple of 92485 and 92491?
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 92485 and 92491 is 8554030135.
LCM(92485,92491) = 8554030135
Least Common Multiple of 92485 and 92491 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92485 and 92491, than apply into the LCM equation.
GCF(92485,92491) = 1
LCM(92485,92491) = ( 92485 × 92491) / 1
LCM(92485,92491) = 8554030135 / 1
LCM(92485,92491) = 8554030135
Least Common Multiple (LCM) of 92485 and 92491 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92485 and 92491. First we will calculate the prime factors of 92485 and 92491.
Prime Factorization of 92485
Prime factors of 92485 are 5, 53, 349. Prime factorization of 92485 in exponential form is:
92485 = 51 × 531 × 3491
Prime Factorization of 92491
Prime factors of 92491 are 7, 73, 181. Prime factorization of 92491 in exponential form is:
92491 = 71 × 731 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 92485 and 92491.
LCM(92485,92491) = 51 × 531 × 3491 × 71 × 731 × 1811
LCM(92485,92491) = 8554030135
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