What is the Least Common Multiple of 24513 and 24526?
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 24513 and 24526 is 601205838.
LCM(24513,24526) = 601205838
Least Common Multiple of 24513 and 24526 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24513 and 24526, than apply into the LCM equation.
GCF(24513,24526) = 1
LCM(24513,24526) = ( 24513 × 24526) / 1
LCM(24513,24526) = 601205838 / 1
LCM(24513,24526) = 601205838
Least Common Multiple (LCM) of 24513 and 24526 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24513 and 24526. First we will calculate the prime factors of 24513 and 24526.
Prime Factorization of 24513
Prime factors of 24513 are 3, 8171. Prime factorization of 24513 in exponential form is:
24513 = 31 × 81711
Prime Factorization of 24526
Prime factors of 24526 are 2, 12263. Prime factorization of 24526 in exponential form is:
24526 = 21 × 122631
Now multiplying the highest exponent prime factors to calculate the LCM of 24513 and 24526.
LCM(24513,24526) = 31 × 81711 × 21 × 122631
LCM(24513,24526) = 601205838
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