What is the Least Common Multiple of 91334 and 91341?
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 91334 and 91341 is 8342538894.
LCM(91334,91341) = 8342538894
Least Common Multiple of 91334 and 91341 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91334 and 91341, than apply into the LCM equation.
GCF(91334,91341) = 1
LCM(91334,91341) = ( 91334 × 91341) / 1
LCM(91334,91341) = 8342538894 / 1
LCM(91334,91341) = 8342538894
Least Common Multiple (LCM) of 91334 and 91341 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91334 and 91341. First we will calculate the prime factors of 91334 and 91341.
Prime Factorization of 91334
Prime factors of 91334 are 2, 45667. Prime factorization of 91334 in exponential form is:
91334 = 21 × 456671
Prime Factorization of 91341
Prime factors of 91341 are 3, 17, 199. Prime factorization of 91341 in exponential form is:
91341 = 33 × 171 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 91334 and 91341.
LCM(91334,91341) = 21 × 456671 × 33 × 171 × 1991
LCM(91334,91341) = 8342538894
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