What is the Least Common Multiple of 2483 and 2491?
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 2483 and 2491 is 6185153.
LCM(2483,2491) = 6185153
Least Common Multiple of 2483 and 2491 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2483 and 2491, than apply into the LCM equation.
GCF(2483,2491) = 1
LCM(2483,2491) = ( 2483 × 2491) / 1
LCM(2483,2491) = 6185153 / 1
LCM(2483,2491) = 6185153
Least Common Multiple (LCM) of 2483 and 2491 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2483 and 2491. First we will calculate the prime factors of 2483 and 2491.
Prime Factorization of 2483
Prime factors of 2483 are 13, 191. Prime factorization of 2483 in exponential form is:
2483 = 131 × 1911
Prime Factorization of 2491
Prime factors of 2491 are 47, 53. Prime factorization of 2491 in exponential form is:
2491 = 471 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 2483 and 2491.
LCM(2483,2491) = 131 × 1911 × 471 × 531
LCM(2483,2491) = 6185153
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