What is the Least Common Multiple of 2467 and 2482?
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 2467 and 2482 is 6123094.
LCM(2467,2482) = 6123094
Least Common Multiple of 2467 and 2482 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2467 and 2482, than apply into the LCM equation.
GCF(2467,2482) = 1
LCM(2467,2482) = ( 2467 × 2482) / 1
LCM(2467,2482) = 6123094 / 1
LCM(2467,2482) = 6123094
Least Common Multiple (LCM) of 2467 and 2482 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2467 and 2482. First we will calculate the prime factors of 2467 and 2482.
Prime Factorization of 2467
Prime factors of 2467 are 2467. Prime factorization of 2467 in exponential form is:
2467 = 24671
Prime Factorization of 2482
Prime factors of 2482 are 2, 17, 73. Prime factorization of 2482 in exponential form is:
2482 = 21 × 171 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 2467 and 2482.
LCM(2467,2482) = 24671 × 21 × 171 × 731
LCM(2467,2482) = 6123094
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