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What is the Least Common Multiple of 56429 and 56436?

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 56429 and 56436 is 3184627044.

LCM(56429,56436) = 3184627044

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Least Common Multiple of 56429 and 56436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56429 and 56436, than apply into the LCM equation.

GCF(56429,56436) = 1
LCM(56429,56436) = ( 56429 × 56436) / 1
LCM(56429,56436) = 3184627044 / 1
LCM(56429,56436) = 3184627044

Least Common Multiple (LCM) of 56429 and 56436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56429 and 56436. First we will calculate the prime factors of 56429 and 56436.

Prime Factorization of 56429

Prime factors of 56429 are 73, 773. Prime factorization of 56429 in exponential form is:

56429 = 731 × 7731

Prime Factorization of 56436

Prime factors of 56436 are 2, 3, 4703. Prime factorization of 56436 in exponential form is:

56436 = 22 × 31 × 47031

Now multiplying the highest exponent prime factors to calculate the LCM of 56429 and 56436.

LCM(56429,56436) = 731 × 7731 × 22 × 31 × 47031
LCM(56429,56436) = 3184627044