What is the Least Common Multiple of 99266 and 99271?
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 99266 and 99271 is 9854235086.
LCM(99266,99271) = 9854235086
Least Common Multiple of 99266 and 99271 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99266 and 99271, than apply into the LCM equation.
GCF(99266,99271) = 1
LCM(99266,99271) = ( 99266 × 99271) / 1
LCM(99266,99271) = 9854235086 / 1
LCM(99266,99271) = 9854235086
Least Common Multiple (LCM) of 99266 and 99271 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99266 and 99271. First we will calculate the prime factors of 99266 and 99271.
Prime Factorization of 99266
Prime factors of 99266 are 2, 49633. Prime factorization of 99266 in exponential form is:
99266 = 21 × 496331
Prime Factorization of 99271
Prime factors of 99271 are 37, 2683. Prime factorization of 99271 in exponential form is:
99271 = 371 × 26831
Now multiplying the highest exponent prime factors to calculate the LCM of 99266 and 99271.
LCM(99266,99271) = 21 × 496331 × 371 × 26831
LCM(99266,99271) = 9854235086
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