What is the Least Common Multiple of 91871 and 91886?
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 91871 and 91886 is 8441658706.
LCM(91871,91886) = 8441658706
Least Common Multiple of 91871 and 91886 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91871 and 91886, than apply into the LCM equation.
GCF(91871,91886) = 1
LCM(91871,91886) = ( 91871 × 91886) / 1
LCM(91871,91886) = 8441658706 / 1
LCM(91871,91886) = 8441658706
Least Common Multiple (LCM) of 91871 and 91886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91871 and 91886. First we will calculate the prime factors of 91871 and 91886.
Prime Factorization of 91871
Prime factors of 91871 are 13, 37, 191. Prime factorization of 91871 in exponential form is:
91871 = 131 × 371 × 1911
Prime Factorization of 91886
Prime factors of 91886 are 2, 45943. Prime factorization of 91886 in exponential form is:
91886 = 21 × 459431
Now multiplying the highest exponent prime factors to calculate the LCM of 91871 and 91886.
LCM(91871,91886) = 131 × 371 × 1911 × 21 × 459431
LCM(91871,91886) = 8441658706
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