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What is the Least Common Multiple of 56278 and 56290?

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 56278 and 56290 is 1583944310.

LCM(56278,56290) = 1583944310

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Least Common Multiple of 56278 and 56290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56278 and 56290, than apply into the LCM equation.

GCF(56278,56290) = 2
LCM(56278,56290) = ( 56278 × 56290) / 2
LCM(56278,56290) = 3167888620 / 2
LCM(56278,56290) = 1583944310

Least Common Multiple (LCM) of 56278 and 56290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56278 and 56290. First we will calculate the prime factors of 56278 and 56290.

Prime Factorization of 56278

Prime factors of 56278 are 2, 19, 1481. Prime factorization of 56278 in exponential form is:

56278 = 21 × 191 × 14811

Prime Factorization of 56290

Prime factors of 56290 are 2, 5, 13, 433. Prime factorization of 56290 in exponential form is:

56290 = 21 × 51 × 131 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 56278 and 56290.

LCM(56278,56290) = 21 × 191 × 14811 × 51 × 131 × 4331
LCM(56278,56290) = 1583944310