What is the Least Common Multiple of 99386 and 99394?
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 99386 and 99394 is 4939186042.
LCM(99386,99394) = 4939186042
Least Common Multiple of 99386 and 99394 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99386 and 99394, than apply into the LCM equation.
GCF(99386,99394) = 2
LCM(99386,99394) = ( 99386 × 99394) / 2
LCM(99386,99394) = 9878372084 / 2
LCM(99386,99394) = 4939186042
Least Common Multiple (LCM) of 99386 and 99394 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99386 and 99394. First we will calculate the prime factors of 99386 and 99394.
Prime Factorization of 99386
Prime factors of 99386 are 2, 7, 31, 229. Prime factorization of 99386 in exponential form is:
99386 = 21 × 71 × 311 × 2291
Prime Factorization of 99394
Prime factors of 99394 are 2, 49697. Prime factorization of 99394 in exponential form is:
99394 = 21 × 496971
Now multiplying the highest exponent prime factors to calculate the LCM of 99386 and 99394.
LCM(99386,99394) = 21 × 71 × 311 × 2291 × 496971
LCM(99386,99394) = 4939186042
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