What is the Least Common Multiple of 9394 and 9411?
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 9411 is 88406934.
LCM(9394,9411) = 88406934
Least Common Multiple of 9394 and 9411 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 9411, than apply into the LCM equation.
GCF(9394,9411) = 1
LCM(9394,9411) = ( 9394 × 9411) / 1
LCM(9394,9411) = 88406934 / 1
LCM(9394,9411) = 88406934
Least Common Multiple (LCM) of 9394 and 9411 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9394 and 9411. First we will calculate the prime factors of 9394 and 9411.
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 9411
Prime factors of 9411 are 3, 3137. Prime factorization of 9411 in exponential form is:
9411 = 31 × 31371
Now multiplying the highest exponent prime factors to calculate the LCM of 9394 and 9411.
LCM(9394,9411) = 21 × 71 × 111 × 611 × 31 × 31371
LCM(9394,9411) = 88406934
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