What is the Least Common Multiple of 91576 and 91586?
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 91576 and 91586 is 4193539768.
LCM(91576,91586) = 4193539768
Least Common Multiple of 91576 and 91586 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91576 and 91586, than apply into the LCM equation.
GCF(91576,91586) = 2
LCM(91576,91586) = ( 91576 × 91586) / 2
LCM(91576,91586) = 8387079536 / 2
LCM(91576,91586) = 4193539768
Least Common Multiple (LCM) of 91576 and 91586 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91576 and 91586. First we will calculate the prime factors of 91576 and 91586.
Prime Factorization of 91576
Prime factors of 91576 are 2, 11447. Prime factorization of 91576 in exponential form is:
91576 = 23 × 114471
Prime Factorization of 91586
Prime factors of 91586 are 2, 11, 23, 181. Prime factorization of 91586 in exponential form is:
91586 = 21 × 111 × 231 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 91576 and 91586.
LCM(91576,91586) = 23 × 114471 × 111 × 231 × 1811
LCM(91576,91586) = 4193539768
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