What is the Least Common Multiple of 24677 and 24682?
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 24677 and 24682 is 609077714.
LCM(24677,24682) = 609077714
Least Common Multiple of 24677 and 24682 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24677 and 24682, than apply into the LCM equation.
GCF(24677,24682) = 1
LCM(24677,24682) = ( 24677 × 24682) / 1
LCM(24677,24682) = 609077714 / 1
LCM(24677,24682) = 609077714
Least Common Multiple (LCM) of 24677 and 24682 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24677 and 24682. First we will calculate the prime factors of 24677 and 24682.
Prime Factorization of 24677
Prime factors of 24677 are 24677. Prime factorization of 24677 in exponential form is:
24677 = 246771
Prime Factorization of 24682
Prime factors of 24682 are 2, 7, 41, 43. Prime factorization of 24682 in exponential form is:
24682 = 21 × 71 × 411 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 24677 and 24682.
LCM(24677,24682) = 246771 × 21 × 71 × 411 × 431
LCM(24677,24682) = 609077714
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