What is the Least Common Multiple of 44173 and 44190?
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 44173 and 44190 is 1952004870.
LCM(44173,44190) = 1952004870
Least Common Multiple of 44173 and 44190 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44173 and 44190, than apply into the LCM equation.
GCF(44173,44190) = 1
LCM(44173,44190) = ( 44173 × 44190) / 1
LCM(44173,44190) = 1952004870 / 1
LCM(44173,44190) = 1952004870
Least Common Multiple (LCM) of 44173 and 44190 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44173 and 44190. First we will calculate the prime factors of 44173 and 44190.
Prime Factorization of 44173
Prime factors of 44173 are 163, 271. Prime factorization of 44173 in exponential form is:
44173 = 1631 × 2711
Prime Factorization of 44190
Prime factors of 44190 are 2, 3, 5, 491. Prime factorization of 44190 in exponential form is:
44190 = 21 × 32 × 51 × 4911
Now multiplying the highest exponent prime factors to calculate the LCM of 44173 and 44190.
LCM(44173,44190) = 1631 × 2711 × 21 × 32 × 51 × 4911
LCM(44173,44190) = 1952004870
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