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What is the Least Common Multiple of 51731 and 51745?

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 51731 and 51745 is 2676820595.

LCM(51731,51745) = 2676820595

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Least Common Multiple of 51731 and 51745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51731 and 51745, than apply into the LCM equation.

GCF(51731,51745) = 1
LCM(51731,51745) = ( 51731 × 51745) / 1
LCM(51731,51745) = 2676820595 / 1
LCM(51731,51745) = 2676820595

Least Common Multiple (LCM) of 51731 and 51745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51731 and 51745. First we will calculate the prime factors of 51731 and 51745.

Prime Factorization of 51731

Prime factors of 51731 are 17, 179. Prime factorization of 51731 in exponential form is:

51731 = 172 × 1791

Prime Factorization of 51745

Prime factors of 51745 are 5, 79, 131. Prime factorization of 51745 in exponential form is:

51745 = 51 × 791 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 51731 and 51745.

LCM(51731,51745) = 172 × 1791 × 51 × 791 × 1311
LCM(51731,51745) = 2676820595