What is the Least Common Multiple of 9421 and 9441?
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 9421 and 9441 is 88943661.
LCM(9421,9441) = 88943661
Least Common Multiple of 9421 and 9441 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9421 and 9441, than apply into the LCM equation.
GCF(9421,9441) = 1
LCM(9421,9441) = ( 9421 × 9441) / 1
LCM(9421,9441) = 88943661 / 1
LCM(9421,9441) = 88943661
Least Common Multiple (LCM) of 9421 and 9441 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9421 and 9441. First we will calculate the prime factors of 9421 and 9441.
Prime Factorization of 9421
Prime factors of 9421 are 9421. Prime factorization of 9421 in exponential form is:
9421 = 94211
Prime Factorization of 9441
Prime factors of 9441 are 3, 1049. Prime factorization of 9441 in exponential form is:
9441 = 32 × 10491
Now multiplying the highest exponent prime factors to calculate the LCM of 9421 and 9441.
LCM(9421,9441) = 94211 × 32 × 10491
LCM(9421,9441) = 88943661
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