What is the Least Common Multiple of 4417 and 4421?
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 4417 and 4421 is 19527557.
LCM(4417,4421) = 19527557
Least Common Multiple of 4417 and 4421 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4417 and 4421, than apply into the LCM equation.
GCF(4417,4421) = 1
LCM(4417,4421) = ( 4417 × 4421) / 1
LCM(4417,4421) = 19527557 / 1
LCM(4417,4421) = 19527557
Least Common Multiple (LCM) of 4417 and 4421 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4417 and 4421. First we will calculate the prime factors of 4417 and 4421.
Prime Factorization of 4417
Prime factors of 4417 are 7, 631. Prime factorization of 4417 in exponential form is:
4417 = 71 × 6311
Prime Factorization of 4421
Prime factors of 4421 are 4421. Prime factorization of 4421 in exponential form is:
4421 = 44211
Now multiplying the highest exponent prime factors to calculate the LCM of 4417 and 4421.
LCM(4417,4421) = 71 × 6311 × 44211
LCM(4417,4421) = 19527557
Related Least Common Multiples of 4417
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