What is the Least Common Multiple of 56407 and 56424?
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 56407 and 56424 is 3182708568.
LCM(56407,56424) = 3182708568
Least Common Multiple of 56407 and 56424 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56407 and 56424, than apply into the LCM equation.
GCF(56407,56424) = 1
LCM(56407,56424) = ( 56407 × 56424) / 1
LCM(56407,56424) = 3182708568 / 1
LCM(56407,56424) = 3182708568
Least Common Multiple (LCM) of 56407 and 56424 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56407 and 56424. First we will calculate the prime factors of 56407 and 56424.
Prime Factorization of 56407
Prime factors of 56407 are 13, 4339. Prime factorization of 56407 in exponential form is:
56407 = 131 × 43391
Prime Factorization of 56424
Prime factors of 56424 are 2, 3, 2351. Prime factorization of 56424 in exponential form is:
56424 = 23 × 31 × 23511
Now multiplying the highest exponent prime factors to calculate the LCM of 56407 and 56424.
LCM(56407,56424) = 131 × 43391 × 23 × 31 × 23511
LCM(56407,56424) = 3182708568
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