What is the Least Common Multiple of 93386 and 93394?
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 93386 and 93394 is 4360846042.
LCM(93386,93394) = 4360846042
Least Common Multiple of 93386 and 93394 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93386 and 93394, than apply into the LCM equation.
GCF(93386,93394) = 2
LCM(93386,93394) = ( 93386 × 93394) / 2
LCM(93386,93394) = 8721692084 / 2
LCM(93386,93394) = 4360846042
Least Common Multiple (LCM) of 93386 and 93394 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93386 and 93394. First we will calculate the prime factors of 93386 and 93394.
Prime Factorization of 93386
Prime factors of 93386 are 2, 53, 881. Prime factorization of 93386 in exponential form is:
93386 = 21 × 531 × 8811
Prime Factorization of 93394
Prime factors of 93394 are 2, 7, 953. Prime factorization of 93394 in exponential form is:
93394 = 21 × 72 × 9531
Now multiplying the highest exponent prime factors to calculate the LCM of 93386 and 93394.
LCM(93386,93394) = 21 × 531 × 8811 × 72 × 9531
LCM(93386,93394) = 4360846042
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