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What is the Least Common Multiple of 56438 and 56451?

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 56438 and 56451 is 3185981538.

LCM(56438,56451) = 3185981538

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Least Common Multiple of 56438 and 56451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56438 and 56451, than apply into the LCM equation.

GCF(56438,56451) = 1
LCM(56438,56451) = ( 56438 × 56451) / 1
LCM(56438,56451) = 3185981538 / 1
LCM(56438,56451) = 3185981538

Least Common Multiple (LCM) of 56438 and 56451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56438 and 56451. First we will calculate the prime factors of 56438 and 56451.

Prime Factorization of 56438

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

56438 = 21 × 282191

Prime Factorization of 56451

Prime factors of 56451 are 3, 31, 607. Prime factorization of 56451 in exponential form is:

56451 = 31 × 311 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 56438 and 56451.

LCM(56438,56451) = 21 × 282191 × 31 × 311 × 6071
LCM(56438,56451) = 3185981538