What is the Least Common Multiple of 91266 and 91286?
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 91266 and 91286 is 4165654038.
LCM(91266,91286) = 4165654038
Least Common Multiple of 91266 and 91286 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91266 and 91286, than apply into the LCM equation.
GCF(91266,91286) = 2
LCM(91266,91286) = ( 91266 × 91286) / 2
LCM(91266,91286) = 8331308076 / 2
LCM(91266,91286) = 4165654038
Least Common Multiple (LCM) of 91266 and 91286 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91266 and 91286. First we will calculate the prime factors of 91266 and 91286.
Prime Factorization of 91266
Prime factors of 91266 are 2, 3, 7, 41, 53. Prime factorization of 91266 in exponential form is:
91266 = 21 × 31 × 71 × 411 × 531
Prime Factorization of 91286
Prime factors of 91286 are 2, 13, 3511. Prime factorization of 91286 in exponential form is:
91286 = 21 × 131 × 35111
Now multiplying the highest exponent prime factors to calculate the LCM of 91266 and 91286.
LCM(91266,91286) = 21 × 31 × 71 × 411 × 531 × 131 × 35111
LCM(91266,91286) = 4165654038
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