What is the Least Common Multiple of 44093 and 44103?
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 44093 and 44103 is 1944633579.
LCM(44093,44103) = 1944633579
Least Common Multiple of 44093 and 44103 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44093 and 44103, than apply into the LCM equation.
GCF(44093,44103) = 1
LCM(44093,44103) = ( 44093 × 44103) / 1
LCM(44093,44103) = 1944633579 / 1
LCM(44093,44103) = 1944633579
Least Common Multiple (LCM) of 44093 and 44103 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44093 and 44103. First we will calculate the prime factors of 44093 and 44103.
Prime Factorization of 44093
Prime factors of 44093 are 7, 6299. Prime factorization of 44093 in exponential form is:
44093 = 71 × 62991
Prime Factorization of 44103
Prime factors of 44103 are 3, 61, 241. Prime factorization of 44103 in exponential form is:
44103 = 31 × 611 × 2411
Now multiplying the highest exponent prime factors to calculate the LCM of 44093 and 44103.
LCM(44093,44103) = 71 × 62991 × 31 × 611 × 2411
LCM(44093,44103) = 1944633579
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