What is the Least Common Multiple of 2391 and 2399?
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 2391 and 2399 is 5736009.
LCM(2391,2399) = 5736009
Least Common Multiple of 2391 and 2399 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2391 and 2399, than apply into the LCM equation.
GCF(2391,2399) = 1
LCM(2391,2399) = ( 2391 × 2399) / 1
LCM(2391,2399) = 5736009 / 1
LCM(2391,2399) = 5736009
Least Common Multiple (LCM) of 2391 and 2399 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2391 and 2399. First we will calculate the prime factors of 2391 and 2399.
Prime Factorization of 2391
Prime factors of 2391 are 3, 797. Prime factorization of 2391 in exponential form is:
2391 = 31 × 7971
Prime Factorization of 2399
Prime factors of 2399 are 2399. Prime factorization of 2399 in exponential form is:
2399 = 23991
Now multiplying the highest exponent prime factors to calculate the LCM of 2391 and 2399.
LCM(2391,2399) = 31 × 7971 × 23991
LCM(2391,2399) = 5736009
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