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What is the Least Common Multiple of 56860 and 56870?

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 56860 and 56870 is 323362820.

LCM(56860,56870) = 323362820

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Least Common Multiple of 56860 and 56870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56860 and 56870, than apply into the LCM equation.

GCF(56860,56870) = 10
LCM(56860,56870) = ( 56860 × 56870) / 10
LCM(56860,56870) = 3233628200 / 10
LCM(56860,56870) = 323362820

Least Common Multiple (LCM) of 56860 and 56870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56860 and 56870. First we will calculate the prime factors of 56860 and 56870.

Prime Factorization of 56860

Prime factors of 56860 are 2, 5, 2843. Prime factorization of 56860 in exponential form is:

56860 = 22 × 51 × 28431

Prime Factorization of 56870

Prime factors of 56870 are 2, 5, 11, 47. Prime factorization of 56870 in exponential form is:

56870 = 21 × 51 × 112 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 56860 and 56870.

LCM(56860,56870) = 22 × 51 × 28431 × 112 × 471
LCM(56860,56870) = 323362820