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What is the Least Common Multiple of 5731 and 5735?

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 5731 and 5735 is 32867285.

LCM(5731,5735) = 32867285

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Least Common Multiple of 5731 and 5735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5731 and 5735, than apply into the LCM equation.

GCF(5731,5735) = 1
LCM(5731,5735) = ( 5731 × 5735) / 1
LCM(5731,5735) = 32867285 / 1
LCM(5731,5735) = 32867285

Least Common Multiple (LCM) of 5731 and 5735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5731 and 5735. First we will calculate the prime factors of 5731 and 5735.

Prime Factorization of 5731

Prime factors of 5731 are 11, 521. Prime factorization of 5731 in exponential form is:

5731 = 111 × 5211

Prime Factorization of 5735

Prime factors of 5735 are 5, 31, 37. Prime factorization of 5735 in exponential form is:

5735 = 51 × 311 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 5731 and 5735.

LCM(5731,5735) = 111 × 5211 × 51 × 311 × 371
LCM(5731,5735) = 32867285