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What is the Least Common Multiple of 56282 and 56288?

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 56282 and 56288 is 1584000608.

LCM(56282,56288) = 1584000608

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Least Common Multiple of 56282 and 56288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56282 and 56288, than apply into the LCM equation.

GCF(56282,56288) = 2
LCM(56282,56288) = ( 56282 × 56288) / 2
LCM(56282,56288) = 3168001216 / 2
LCM(56282,56288) = 1584000608

Least Common Multiple (LCM) of 56282 and 56288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56282 and 56288. First we will calculate the prime factors of 56282 and 56288.

Prime Factorization of 56282

Prime factors of 56282 are 2, 107, 263. Prime factorization of 56282 in exponential form is:

56282 = 21 × 1071 × 2631

Prime Factorization of 56288

Prime factors of 56288 are 2, 1759. Prime factorization of 56288 in exponential form is:

56288 = 25 × 17591

Now multiplying the highest exponent prime factors to calculate the LCM of 56282 and 56288.

LCM(56282,56288) = 25 × 1071 × 2631 × 17591
LCM(56282,56288) = 1584000608