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What is the Least Common Multiple of 56407 and 56423?

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 56423 is 3182652161.

LCM(56407,56423) = 3182652161

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Least Common Multiple of 56407 and 56423 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 56423, than apply into the LCM equation.

GCF(56407,56423) = 1
LCM(56407,56423) = ( 56407 × 56423) / 1
LCM(56407,56423) = 3182652161 / 1
LCM(56407,56423) = 3182652161

Least Common Multiple (LCM) of 56407 and 56423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56407 and 56423. First we will calculate the prime factors of 56407 and 56423.

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 56423

Prime factors of 56423 are 17, 3319. Prime factorization of 56423 in exponential form is:

56423 = 171 × 33191

Now multiplying the highest exponent prime factors to calculate the LCM of 56407 and 56423.

LCM(56407,56423) = 131 × 43391 × 171 × 33191
LCM(56407,56423) = 3182652161