What is the Least Common Multiple of 4413 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 4413 and 4421 is 19509873.
LCM(4413,4421) = 19509873
Least Common Multiple of 4413 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 4413 and 4421, than apply into the LCM equation.
GCF(4413,4421) = 1
LCM(4413,4421) = ( 4413 × 4421) / 1
LCM(4413,4421) = 19509873 / 1
LCM(4413,4421) = 19509873
Least Common Multiple (LCM) of 4413 and 4421 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4413 and 4421. First we will calculate the prime factors of 4413 and 4421.
Prime Factorization of 4413
Prime factors of 4413 are 3, 1471. Prime factorization of 4413 in exponential form is:
4413 = 31 × 14711
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 4413 and 4421.
LCM(4413,4421) = 31 × 14711 × 44211
LCM(4413,4421) = 19509873
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