What is the Least Common Multiple of 9454 and 9470?
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 9454 and 9470 is 44764690.
LCM(9454,9470) = 44764690
Least Common Multiple of 9454 and 9470 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9454 and 9470, than apply into the LCM equation.
GCF(9454,9470) = 2
LCM(9454,9470) = ( 9454 × 9470) / 2
LCM(9454,9470) = 89529380 / 2
LCM(9454,9470) = 44764690
Least Common Multiple (LCM) of 9454 and 9470 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9454 and 9470. First we will calculate the prime factors of 9454 and 9470.
Prime Factorization of 9454
Prime factors of 9454 are 2, 29, 163. Prime factorization of 9454 in exponential form is:
9454 = 21 × 291 × 1631
Prime Factorization of 9470
Prime factors of 9470 are 2, 5, 947. Prime factorization of 9470 in exponential form is:
9470 = 21 × 51 × 9471
Now multiplying the highest exponent prime factors to calculate the LCM of 9454 and 9470.
LCM(9454,9470) = 21 × 291 × 1631 × 51 × 9471
LCM(9454,9470) = 44764690
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