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What is the Least Common Multiple of 65721 and 65732?

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 65721 and 65732 is 4319972772.

LCM(65721,65732) = 4319972772

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Least Common Multiple of 65721 and 65732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65721 and 65732, than apply into the LCM equation.

GCF(65721,65732) = 1
LCM(65721,65732) = ( 65721 × 65732) / 1
LCM(65721,65732) = 4319972772 / 1
LCM(65721,65732) = 4319972772

Least Common Multiple (LCM) of 65721 and 65732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65721 and 65732. First we will calculate the prime factors of 65721 and 65732.

Prime Factorization of 65721

Prime factors of 65721 are 3, 19, 1153. Prime factorization of 65721 in exponential form is:

65721 = 31 × 191 × 11531

Prime Factorization of 65732

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

65732 = 22 × 164331

Now multiplying the highest exponent prime factors to calculate the LCM of 65721 and 65732.

LCM(65721,65732) = 31 × 191 × 11531 × 22 × 164331
LCM(65721,65732) = 4319972772