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What is the Least Common Multiple of 56428 and 56438?

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 56438 is 1592341732.

LCM(56428,56438) = 1592341732

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Least Common Multiple of 56428 and 56438 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 56438, than apply into the LCM equation.

GCF(56428,56438) = 2
LCM(56428,56438) = ( 56428 × 56438) / 2
LCM(56428,56438) = 3184683464 / 2
LCM(56428,56438) = 1592341732

Least Common Multiple (LCM) of 56428 and 56438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56428 and 56438. First we will calculate the prime factors of 56428 and 56438.

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 56438

Prime factors of 56438 are 2, 28219. Prime factorization of 56438 in exponential form is:

56438 = 21 × 282191

Now multiplying the highest exponent prime factors to calculate the LCM of 56428 and 56438.

LCM(56428,56438) = 22 × 141071 × 282191
LCM(56428,56438) = 1592341732