What is the Least Common Multiple of 44391 and 44395?
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 44391 and 44395 is 1970738445.
LCM(44391,44395) = 1970738445
Least Common Multiple of 44391 and 44395 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44391 and 44395, than apply into the LCM equation.
GCF(44391,44395) = 1
LCM(44391,44395) = ( 44391 × 44395) / 1
LCM(44391,44395) = 1970738445 / 1
LCM(44391,44395) = 1970738445
Least Common Multiple (LCM) of 44391 and 44395 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44391 and 44395. First we will calculate the prime factors of 44391 and 44395.
Prime Factorization of 44391
Prime factors of 44391 are 3, 14797. Prime factorization of 44391 in exponential form is:
44391 = 31 × 147971
Prime Factorization of 44395
Prime factors of 44395 are 5, 13, 683. Prime factorization of 44395 in exponential form is:
44395 = 51 × 131 × 6831
Now multiplying the highest exponent prime factors to calculate the LCM of 44391 and 44395.
LCM(44391,44395) = 31 × 147971 × 51 × 131 × 6831
LCM(44391,44395) = 1970738445
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