What is the Least Common Multiple of 99463 and 99482?
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 99463 and 99482 is 9894778166.
LCM(99463,99482) = 9894778166
Least Common Multiple of 99463 and 99482 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99463 and 99482, than apply into the LCM equation.
GCF(99463,99482) = 1
LCM(99463,99482) = ( 99463 × 99482) / 1
LCM(99463,99482) = 9894778166 / 1
LCM(99463,99482) = 9894778166
Least Common Multiple (LCM) of 99463 and 99482 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99463 and 99482. First we will calculate the prime factors of 99463 and 99482.
Prime Factorization of 99463
Prime factors of 99463 are 7, 13, 1093. Prime factorization of 99463 in exponential form is:
99463 = 71 × 131 × 10931
Prime Factorization of 99482
Prime factors of 99482 are 2, 49741. Prime factorization of 99482 in exponential form is:
99482 = 21 × 497411
Now multiplying the highest exponent prime factors to calculate the LCM of 99463 and 99482.
LCM(99463,99482) = 71 × 131 × 10931 × 21 × 497411
LCM(99463,99482) = 9894778166
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