What is the Least Common Multiple of 24073 and 24079?
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 24073 and 24079 is 579653767.
LCM(24073,24079) = 579653767
Least Common Multiple of 24073 and 24079 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24073 and 24079, than apply into the LCM equation.
GCF(24073,24079) = 1
LCM(24073,24079) = ( 24073 × 24079) / 1
LCM(24073,24079) = 579653767 / 1
LCM(24073,24079) = 579653767
Least Common Multiple (LCM) of 24073 and 24079 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24073 and 24079. First we will calculate the prime factors of 24073 and 24079.
Prime Factorization of 24073
Prime factors of 24073 are 7, 19, 181. Prime factorization of 24073 in exponential form is:
24073 = 71 × 191 × 1811
Prime Factorization of 24079
Prime factors of 24079 are 11, 199. Prime factorization of 24079 in exponential form is:
24079 = 112 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 24073 and 24079.
LCM(24073,24079) = 71 × 191 × 1811 × 112 × 1991
LCM(24073,24079) = 579653767
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