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What is the Least Common Multiple of 65081 and 65091?

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 65081 and 65091 is 4236187371.

LCM(65081,65091) = 4236187371

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Least Common Multiple of 65081 and 65091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65081 and 65091, than apply into the LCM equation.

GCF(65081,65091) = 1
LCM(65081,65091) = ( 65081 × 65091) / 1
LCM(65081,65091) = 4236187371 / 1
LCM(65081,65091) = 4236187371

Least Common Multiple (LCM) of 65081 and 65091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65081 and 65091. First we will calculate the prime factors of 65081 and 65091.

Prime Factorization of 65081

Prime factors of 65081 are 151, 431. Prime factorization of 65081 in exponential form is:

65081 = 1511 × 4311

Prime Factorization of 65091

Prime factors of 65091 are 3, 13, 1669. Prime factorization of 65091 in exponential form is:

65091 = 31 × 131 × 16691

Now multiplying the highest exponent prime factors to calculate the LCM of 65081 and 65091.

LCM(65081,65091) = 1511 × 4311 × 31 × 131 × 16691
LCM(65081,65091) = 4236187371