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What is the Least Common Multiple of 65391 and 65409?

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 65391 and 65409 is 1425719973.

LCM(65391,65409) = 1425719973

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Least Common Multiple of 65391 and 65409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65391 and 65409, than apply into the LCM equation.

GCF(65391,65409) = 3
LCM(65391,65409) = ( 65391 × 65409) / 3
LCM(65391,65409) = 4277159919 / 3
LCM(65391,65409) = 1425719973

Least Common Multiple (LCM) of 65391 and 65409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65391 and 65409. First we will calculate the prime factors of 65391 and 65409.

Prime Factorization of 65391

Prime factors of 65391 are 3, 71, 307. Prime factorization of 65391 in exponential form is:

65391 = 31 × 711 × 3071

Prime Factorization of 65409

Prime factors of 65409 are 3, 21803. Prime factorization of 65409 in exponential form is:

65409 = 31 × 218031

Now multiplying the highest exponent prime factors to calculate the LCM of 65391 and 65409.

LCM(65391,65409) = 31 × 711 × 3071 × 218031
LCM(65391,65409) = 1425719973