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What is the Least Common Multiple of 65732 and 65743?

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 65732 and 65743 is 4321418876.

LCM(65732,65743) = 4321418876

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Least Common Multiple of 65732 and 65743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65732 and 65743, than apply into the LCM equation.

GCF(65732,65743) = 1
LCM(65732,65743) = ( 65732 × 65743) / 1
LCM(65732,65743) = 4321418876 / 1
LCM(65732,65743) = 4321418876

Least Common Multiple (LCM) of 65732 and 65743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65732 and 65743. First we will calculate the prime factors of 65732 and 65743.

Prime Factorization of 65732

Prime factors of 65732 are 2, 16433. Prime factorization of 65732 in exponential form is:

65732 = 22 × 164331

Prime Factorization of 65743

Prime factors of 65743 are 29, 2267. Prime factorization of 65743 in exponential form is:

65743 = 291 × 22671

Now multiplying the highest exponent prime factors to calculate the LCM of 65732 and 65743.

LCM(65732,65743) = 22 × 164331 × 291 × 22671
LCM(65732,65743) = 4321418876