What is the Least Common Multiple of 44079 and 44093?
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 44079 and 44093 is 277653621.
LCM(44079,44093) = 277653621
Least Common Multiple of 44079 and 44093 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44079 and 44093, than apply into the LCM equation.
GCF(44079,44093) = 7
LCM(44079,44093) = ( 44079 × 44093) / 7
LCM(44079,44093) = 1943575347 / 7
LCM(44079,44093) = 277653621
Least Common Multiple (LCM) of 44079 and 44093 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44079 and 44093. First we will calculate the prime factors of 44079 and 44093.
Prime Factorization of 44079
Prime factors of 44079 are 3, 7, 2099. Prime factorization of 44079 in exponential form is:
44079 = 31 × 71 × 20991
Prime Factorization of 44093
Prime factors of 44093 are 7, 6299. Prime factorization of 44093 in exponential form is:
44093 = 71 × 62991
Now multiplying the highest exponent prime factors to calculate the LCM of 44079 and 44093.
LCM(44079,44093) = 31 × 71 × 20991 × 62991
LCM(44079,44093) = 277653621
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