What is the Least Common Multiple of 9394 and 9399?
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 9394 and 9399 is 88294206.
LCM(9394,9399) = 88294206
Least Common Multiple of 9394 and 9399 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9394 and 9399, than apply into the LCM equation.
GCF(9394,9399) = 1
LCM(9394,9399) = ( 9394 × 9399) / 1
LCM(9394,9399) = 88294206 / 1
LCM(9394,9399) = 88294206
Least Common Multiple (LCM) of 9394 and 9399 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9394 and 9399. First we will calculate the prime factors of 9394 and 9399.
Prime Factorization of 9394
Prime factors of 9394 are 2, 7, 11, 61. Prime factorization of 9394 in exponential form is:
9394 = 21 × 71 × 111 × 611
Prime Factorization of 9399
Prime factors of 9399 are 3, 13, 241. Prime factorization of 9399 in exponential form is:
9399 = 31 × 131 × 2411
Now multiplying the highest exponent prime factors to calculate the LCM of 9394 and 9399.
LCM(9394,9399) = 21 × 71 × 111 × 611 × 31 × 131 × 2411
LCM(9394,9399) = 88294206
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