What is the Least Common Multiple of 91487 and 91491?
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 91487 and 91491 is 8370237117.
LCM(91487,91491) = 8370237117
Least Common Multiple of 91487 and 91491 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91487 and 91491, than apply into the LCM equation.
GCF(91487,91491) = 1
LCM(91487,91491) = ( 91487 × 91491) / 1
LCM(91487,91491) = 8370237117 / 1
LCM(91487,91491) = 8370237117
Least Common Multiple (LCM) of 91487 and 91491 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91487 and 91491. First we will calculate the prime factors of 91487 and 91491.
Prime Factorization of 91487
Prime factors of 91487 are 11, 8317. Prime factorization of 91487 in exponential form is:
91487 = 111 × 83171
Prime Factorization of 91491
Prime factors of 91491 are 3, 30497. Prime factorization of 91491 in exponential form is:
91491 = 31 × 304971
Now multiplying the highest exponent prime factors to calculate the LCM of 91487 and 91491.
LCM(91487,91491) = 111 × 83171 × 31 × 304971
LCM(91487,91491) = 8370237117
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