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What is the Least Common Multiple of 51711 and 51715?

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 51711 and 51715 is 2674234365.

LCM(51711,51715) = 2674234365

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Least Common Multiple of 51711 and 51715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51711 and 51715, than apply into the LCM equation.

GCF(51711,51715) = 1
LCM(51711,51715) = ( 51711 × 51715) / 1
LCM(51711,51715) = 2674234365 / 1
LCM(51711,51715) = 2674234365

Least Common Multiple (LCM) of 51711 and 51715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51711 and 51715. First we will calculate the prime factors of 51711 and 51715.

Prime Factorization of 51711

Prime factors of 51711 are 3, 11, 1567. Prime factorization of 51711 in exponential form is:

51711 = 31 × 111 × 15671

Prime Factorization of 51715

Prime factors of 51715 are 5, 10343. Prime factorization of 51715 in exponential form is:

51715 = 51 × 103431

Now multiplying the highest exponent prime factors to calculate the LCM of 51711 and 51715.

LCM(51711,51715) = 31 × 111 × 15671 × 51 × 103431
LCM(51711,51715) = 2674234365