What is the Least Common Multiple of 44807 and 44818?
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 44807 and 44818 is 2008160126.
LCM(44807,44818) = 2008160126
Least Common Multiple of 44807 and 44818 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44807 and 44818, than apply into the LCM equation.
GCF(44807,44818) = 1
LCM(44807,44818) = ( 44807 × 44818) / 1
LCM(44807,44818) = 2008160126 / 1
LCM(44807,44818) = 2008160126
Least Common Multiple (LCM) of 44807 and 44818 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44807 and 44818. First we will calculate the prime factors of 44807 and 44818.
Prime Factorization of 44807
Prime factors of 44807 are 7, 37, 173. Prime factorization of 44807 in exponential form is:
44807 = 71 × 371 × 1731
Prime Factorization of 44818
Prime factors of 44818 are 2, 22409. Prime factorization of 44818 in exponential form is:
44818 = 21 × 224091
Now multiplying the highest exponent prime factors to calculate the LCM of 44807 and 44818.
LCM(44807,44818) = 71 × 371 × 1731 × 21 × 224091
LCM(44807,44818) = 2008160126
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