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What is the Least Common Multiple of 56885 and 56892?

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 56885 and 56892 is 3236301420.

LCM(56885,56892) = 3236301420

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Least Common Multiple of 56885 and 56892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56885 and 56892, than apply into the LCM equation.

GCF(56885,56892) = 1
LCM(56885,56892) = ( 56885 × 56892) / 1
LCM(56885,56892) = 3236301420 / 1
LCM(56885,56892) = 3236301420

Least Common Multiple (LCM) of 56885 and 56892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56885 and 56892. First we will calculate the prime factors of 56885 and 56892.

Prime Factorization of 56885

Prime factors of 56885 are 5, 31, 367. Prime factorization of 56885 in exponential form is:

56885 = 51 × 311 × 3671

Prime Factorization of 56892

Prime factors of 56892 are 2, 3, 11, 431. Prime factorization of 56892 in exponential form is:

56892 = 22 × 31 × 111 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 56885 and 56892.

LCM(56885,56892) = 51 × 311 × 3671 × 22 × 31 × 111 × 4311
LCM(56885,56892) = 3236301420