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What is the Least Common Multiple of 56811 and 56820?

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 56811 and 56820 is 1076000340.

LCM(56811,56820) = 1076000340

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Least Common Multiple of 56811 and 56820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56811 and 56820, than apply into the LCM equation.

GCF(56811,56820) = 3
LCM(56811,56820) = ( 56811 × 56820) / 3
LCM(56811,56820) = 3228001020 / 3
LCM(56811,56820) = 1076000340

Least Common Multiple (LCM) of 56811 and 56820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56811 and 56820. First we will calculate the prime factors of 56811 and 56820.

Prime Factorization of 56811

Prime factors of 56811 are 3, 29, 653. Prime factorization of 56811 in exponential form is:

56811 = 31 × 291 × 6531

Prime Factorization of 56820

Prime factors of 56820 are 2, 3, 5, 947. Prime factorization of 56820 in exponential form is:

56820 = 22 × 31 × 51 × 9471

Now multiplying the highest exponent prime factors to calculate the LCM of 56811 and 56820.

LCM(56811,56820) = 31 × 291 × 6531 × 22 × 51 × 9471
LCM(56811,56820) = 1076000340