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What is the Least Common Multiple of 56877 and 56881?

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 56877 and 56881 is 3235220637.

LCM(56877,56881) = 3235220637

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Least Common Multiple of 56877 and 56881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56877 and 56881, than apply into the LCM equation.

GCF(56877,56881) = 1
LCM(56877,56881) = ( 56877 × 56881) / 1
LCM(56877,56881) = 3235220637 / 1
LCM(56877,56881) = 3235220637

Least Common Multiple (LCM) of 56877 and 56881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56877 and 56881. First we will calculate the prime factors of 56877 and 56881.

Prime Factorization of 56877

Prime factors of 56877 are 3, 18959. Prime factorization of 56877 in exponential form is:

56877 = 31 × 189591

Prime Factorization of 56881

Prime factors of 56881 are 11, 5171. Prime factorization of 56881 in exponential form is:

56881 = 111 × 51711

Now multiplying the highest exponent prime factors to calculate the LCM of 56877 and 56881.

LCM(56877,56881) = 31 × 189591 × 111 × 51711
LCM(56877,56881) = 3235220637