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What is the Least Common Multiple of 56406 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 56406 and 56424 is 530442024.

LCM(56406,56424) = 530442024

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Least Common Multiple of 56406 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 56406 and 56424, than apply into the LCM equation.

GCF(56406,56424) = 6
LCM(56406,56424) = ( 56406 × 56424) / 6
LCM(56406,56424) = 3182652144 / 6
LCM(56406,56424) = 530442024

Least Common Multiple (LCM) of 56406 and 56424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56406 and 56424. First we will calculate the prime factors of 56406 and 56424.

Prime Factorization of 56406

Prime factors of 56406 are 2, 3, 7, 17, 79. Prime factorization of 56406 in exponential form is:

56406 = 21 × 31 × 71 × 171 × 791

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 56406 and 56424.

LCM(56406,56424) = 23 × 31 × 71 × 171 × 791 × 23511
LCM(56406,56424) = 530442024