What is the Least Common Multiple of 92661 and 92671?
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 92661 and 92671 is 8586987531.
LCM(92661,92671) = 8586987531
Least Common Multiple of 92661 and 92671 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92661 and 92671, than apply into the LCM equation.
GCF(92661,92671) = 1
LCM(92661,92671) = ( 92661 × 92671) / 1
LCM(92661,92671) = 8586987531 / 1
LCM(92661,92671) = 8586987531
Least Common Multiple (LCM) of 92661 and 92671 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92661 and 92671. First we will calculate the prime factors of 92661 and 92671.
Prime Factorization of 92661
Prime factors of 92661 are 3, 67, 461. Prime factorization of 92661 in exponential form is:
92661 = 31 × 671 × 4611
Prime Factorization of 92671
Prime factors of 92671 are 92671. Prime factorization of 92671 in exponential form is:
92671 = 926711
Now multiplying the highest exponent prime factors to calculate the LCM of 92661 and 92671.
LCM(92661,92671) = 31 × 671 × 4611 × 926711
LCM(92661,92671) = 8586987531
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