What is the Least Common Multiple of 44279 and 44299?
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 44279 and 44299 is 1961515421.
LCM(44279,44299) = 1961515421
Least Common Multiple of 44279 and 44299 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44279 and 44299, than apply into the LCM equation.
GCF(44279,44299) = 1
LCM(44279,44299) = ( 44279 × 44299) / 1
LCM(44279,44299) = 1961515421 / 1
LCM(44279,44299) = 1961515421
Least Common Multiple (LCM) of 44279 and 44299 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44279 and 44299. First we will calculate the prime factors of 44279 and 44299.
Prime Factorization of 44279
Prime factors of 44279 are 44279. Prime factorization of 44279 in exponential form is:
44279 = 442791
Prime Factorization of 44299
Prime factors of 44299 are 31, 1429. Prime factorization of 44299 in exponential form is:
44299 = 311 × 14291
Now multiplying the highest exponent prime factors to calculate the LCM of 44279 and 44299.
LCM(44279,44299) = 442791 × 311 × 14291
LCM(44279,44299) = 1961515421
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