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What is the Least Common Multiple of 56705 and 56715?

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 56705 and 56715 is 643204815.

LCM(56705,56715) = 643204815

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Least Common Multiple of 56705 and 56715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56705 and 56715, than apply into the LCM equation.

GCF(56705,56715) = 5
LCM(56705,56715) = ( 56705 × 56715) / 5
LCM(56705,56715) = 3216024075 / 5
LCM(56705,56715) = 643204815

Least Common Multiple (LCM) of 56705 and 56715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56705 and 56715. First we will calculate the prime factors of 56705 and 56715.

Prime Factorization of 56705

Prime factors of 56705 are 5, 11, 1031. Prime factorization of 56705 in exponential form is:

56705 = 51 × 111 × 10311

Prime Factorization of 56715

Prime factors of 56715 are 3, 5, 19, 199. Prime factorization of 56715 in exponential form is:

56715 = 31 × 51 × 191 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 56705 and 56715.

LCM(56705,56715) = 51 × 111 × 10311 × 31 × 191 × 1991
LCM(56705,56715) = 643204815