What is the Least Common Multiple of 91718 and 91727?
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 91718 and 91727 is 8413016986.
LCM(91718,91727) = 8413016986
Least Common Multiple of 91718 and 91727 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91718 and 91727, than apply into the LCM equation.
GCF(91718,91727) = 1
LCM(91718,91727) = ( 91718 × 91727) / 1
LCM(91718,91727) = 8413016986 / 1
LCM(91718,91727) = 8413016986
Least Common Multiple (LCM) of 91718 and 91727 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91718 and 91727. First we will calculate the prime factors of 91718 and 91727.
Prime Factorization of 91718
Prime factors of 91718 are 2, 11, 379. Prime factorization of 91718 in exponential form is:
91718 = 21 × 112 × 3791
Prime Factorization of 91727
Prime factors of 91727 are 29, 3163. Prime factorization of 91727 in exponential form is:
91727 = 291 × 31631
Now multiplying the highest exponent prime factors to calculate the LCM of 91718 and 91727.
LCM(91718,91727) = 21 × 112 × 3791 × 291 × 31631
LCM(91718,91727) = 8413016986
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