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What is the Least Common Multiple of 64791 and 64809?

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 64791 and 64809 is 466559991.

LCM(64791,64809) = 466559991

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Least Common Multiple of 64791 and 64809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64791 and 64809, than apply into the LCM equation.

GCF(64791,64809) = 9
LCM(64791,64809) = ( 64791 × 64809) / 9
LCM(64791,64809) = 4199039919 / 9
LCM(64791,64809) = 466559991

Least Common Multiple (LCM) of 64791 and 64809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64791 and 64809. First we will calculate the prime factors of 64791 and 64809.

Prime Factorization of 64791

Prime factors of 64791 are 3, 23, 313. Prime factorization of 64791 in exponential form is:

64791 = 32 × 231 × 3131

Prime Factorization of 64809

Prime factors of 64809 are 3, 19, 379. Prime factorization of 64809 in exponential form is:

64809 = 32 × 191 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 64791 and 64809.

LCM(64791,64809) = 32 × 231 × 3131 × 191 × 3791
LCM(64791,64809) = 466559991