What is the Least Common Multiple of 2578 and 2582?
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 2578 and 2582 is 3328198.
LCM(2578,2582) = 3328198
Least Common Multiple of 2578 and 2582 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2578 and 2582, than apply into the LCM equation.
GCF(2578,2582) = 2
LCM(2578,2582) = ( 2578 × 2582) / 2
LCM(2578,2582) = 6656396 / 2
LCM(2578,2582) = 3328198
Least Common Multiple (LCM) of 2578 and 2582 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2578 and 2582. First we will calculate the prime factors of 2578 and 2582.
Prime Factorization of 2578
Prime factors of 2578 are 2, 1289. Prime factorization of 2578 in exponential form is:
2578 = 21 × 12891
Prime Factorization of 2582
Prime factors of 2582 are 2, 1291. Prime factorization of 2582 in exponential form is:
2582 = 21 × 12911
Now multiplying the highest exponent prime factors to calculate the LCM of 2578 and 2582.
LCM(2578,2582) = 21 × 12891 × 12911
LCM(2578,2582) = 3328198
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