What is the Least Common Multiple of 9386 and 9391?
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 9386 and 9391 is 88143926.
LCM(9386,9391) = 88143926
Least Common Multiple of 9386 and 9391 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9386 and 9391, than apply into the LCM equation.
GCF(9386,9391) = 1
LCM(9386,9391) = ( 9386 × 9391) / 1
LCM(9386,9391) = 88143926 / 1
LCM(9386,9391) = 88143926
Least Common Multiple (LCM) of 9386 and 9391 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9386 and 9391. First we will calculate the prime factors of 9386 and 9391.
Prime Factorization of 9386
Prime factors of 9386 are 2, 13, 19. Prime factorization of 9386 in exponential form is:
9386 = 21 × 131 × 192
Prime Factorization of 9391
Prime factors of 9391 are 9391. Prime factorization of 9391 in exponential form is:
9391 = 93911
Now multiplying the highest exponent prime factors to calculate the LCM of 9386 and 9391.
LCM(9386,9391) = 21 × 131 × 192 × 93911
LCM(9386,9391) = 88143926
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