What is the Least Common Multiple of 24879 and 24893?
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 24879 and 24893 is 619312947.
LCM(24879,24893) = 619312947
Least Common Multiple of 24879 and 24893 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24879 and 24893, than apply into the LCM equation.
GCF(24879,24893) = 1
LCM(24879,24893) = ( 24879 × 24893) / 1
LCM(24879,24893) = 619312947 / 1
LCM(24879,24893) = 619312947
Least Common Multiple (LCM) of 24879 and 24893 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24879 and 24893. First we will calculate the prime factors of 24879 and 24893.
Prime Factorization of 24879
Prime factors of 24879 are 3, 8293. Prime factorization of 24879 in exponential form is:
24879 = 31 × 82931
Prime Factorization of 24893
Prime factors of 24893 are 11, 31, 73. Prime factorization of 24893 in exponential form is:
24893 = 111 × 311 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 24879 and 24893.
LCM(24879,24893) = 31 × 82931 × 111 × 311 × 731
LCM(24879,24893) = 619312947
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