What is the Least Common Multiple of 91367 and 91386?
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 91367 and 91386 is 8349664662.
LCM(91367,91386) = 8349664662
Least Common Multiple of 91367 and 91386 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91367 and 91386, than apply into the LCM equation.
GCF(91367,91386) = 1
LCM(91367,91386) = ( 91367 × 91386) / 1
LCM(91367,91386) = 8349664662 / 1
LCM(91367,91386) = 8349664662
Least Common Multiple (LCM) of 91367 and 91386 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91367 and 91386. First we will calculate the prime factors of 91367 and 91386.
Prime Factorization of 91367
Prime factors of 91367 are 91367. Prime factorization of 91367 in exponential form is:
91367 = 913671
Prime Factorization of 91386
Prime factors of 91386 are 2, 3, 5077. Prime factorization of 91386 in exponential form is:
91386 = 21 × 32 × 50771
Now multiplying the highest exponent prime factors to calculate the LCM of 91367 and 91386.
LCM(91367,91386) = 913671 × 21 × 32 × 50771
LCM(91367,91386) = 8349664662
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