What is the Least Common Multiple of 2467 and 2479?
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 2479 is 6115693.
LCM(2467,2479) = 6115693
Least Common Multiple of 2467 and 2479 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 2479, than apply into the LCM equation.
GCF(2467,2479) = 1
LCM(2467,2479) = ( 2467 × 2479) / 1
LCM(2467,2479) = 6115693 / 1
LCM(2467,2479) = 6115693
Least Common Multiple (LCM) of 2467 and 2479 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2467 and 2479. First we will calculate the prime factors of 2467 and 2479.
Prime Factorization of 2467
Prime factors of 2467 are 2467. Prime factorization of 2467 in exponential form is:
2467 = 24671
Prime Factorization of 2479
Prime factors of 2479 are 37, 67. Prime factorization of 2479 in exponential form is:
2479 = 371 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 2467 and 2479.
LCM(2467,2479) = 24671 × 371 × 671
LCM(2467,2479) = 6115693
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