What is the Least Common Multiple of 44203 and 44215?
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 44203 and 44215 is 1954435645.
LCM(44203,44215) = 1954435645
Least Common Multiple of 44203 and 44215 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44203 and 44215, than apply into the LCM equation.
GCF(44203,44215) = 1
LCM(44203,44215) = ( 44203 × 44215) / 1
LCM(44203,44215) = 1954435645 / 1
LCM(44203,44215) = 1954435645
Least Common Multiple (LCM) of 44203 and 44215 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44203 and 44215. First we will calculate the prime factors of 44203 and 44215.
Prime Factorization of 44203
Prime factors of 44203 are 44203. Prime factorization of 44203 in exponential form is:
44203 = 442031
Prime Factorization of 44215
Prime factors of 44215 are 5, 37, 239. Prime factorization of 44215 in exponential form is:
44215 = 51 × 371 × 2391
Now multiplying the highest exponent prime factors to calculate the LCM of 44203 and 44215.
LCM(44203,44215) = 442031 × 51 × 371 × 2391
LCM(44203,44215) = 1954435645
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