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What is the Least Common Multiple of 56880 and 56889?

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 56880 and 56889 is 359538480.

LCM(56880,56889) = 359538480

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Least Common Multiple of 56880 and 56889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56880 and 56889, than apply into the LCM equation.

GCF(56880,56889) = 9
LCM(56880,56889) = ( 56880 × 56889) / 9
LCM(56880,56889) = 3235846320 / 9
LCM(56880,56889) = 359538480

Least Common Multiple (LCM) of 56880 and 56889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56880 and 56889. First we will calculate the prime factors of 56880 and 56889.

Prime Factorization of 56880

Prime factors of 56880 are 2, 3, 5, 79. Prime factorization of 56880 in exponential form is:

56880 = 24 × 32 × 51 × 791

Prime Factorization of 56889

Prime factors of 56889 are 3, 7, 43. Prime factorization of 56889 in exponential form is:

56889 = 33 × 72 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 56880 and 56889.

LCM(56880,56889) = 24 × 33 × 51 × 791 × 72 × 431
LCM(56880,56889) = 359538480