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What is the Least Common Multiple of 56428 and 56433?

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 56428 and 56433 is 3184401324.

LCM(56428,56433) = 3184401324

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Least Common Multiple of 56428 and 56433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56428 and 56433, than apply into the LCM equation.

GCF(56428,56433) = 1
LCM(56428,56433) = ( 56428 × 56433) / 1
LCM(56428,56433) = 3184401324 / 1
LCM(56428,56433) = 3184401324

Least Common Multiple (LCM) of 56428 and 56433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56428 and 56433. First we will calculate the prime factors of 56428 and 56433.

Prime Factorization of 56428

Prime factors of 56428 are 2, 14107. Prime factorization of 56428 in exponential form is:

56428 = 22 × 141071

Prime Factorization of 56433

Prime factors of 56433 are 3, 13, 1447. Prime factorization of 56433 in exponential form is:

56433 = 31 × 131 × 14471

Now multiplying the highest exponent prime factors to calculate the LCM of 56428 and 56433.

LCM(56428,56433) = 22 × 141071 × 31 × 131 × 14471
LCM(56428,56433) = 3184401324