What is the Least Common Multiple of 91489 and 91495?
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 91489 and 91495 is 8370786055.
LCM(91489,91495) = 8370786055
Least Common Multiple of 91489 and 91495 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91489 and 91495, than apply into the LCM equation.
GCF(91489,91495) = 1
LCM(91489,91495) = ( 91489 × 91495) / 1
LCM(91489,91495) = 8370786055 / 1
LCM(91489,91495) = 8370786055
Least Common Multiple (LCM) of 91489 and 91495 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91489 and 91495. First we will calculate the prime factors of 91489 and 91495.
Prime Factorization of 91489
Prime factors of 91489 are 191, 479. Prime factorization of 91489 in exponential form is:
91489 = 1911 × 4791
Prime Factorization of 91495
Prime factors of 91495 are 5, 29, 631. Prime factorization of 91495 in exponential form is:
91495 = 51 × 291 × 6311
Now multiplying the highest exponent prime factors to calculate the LCM of 91489 and 91495.
LCM(91489,91495) = 1911 × 4791 × 51 × 291 × 6311
LCM(91489,91495) = 8370786055
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