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What is the Least Common Multiple of 64771 and 64789?

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 64771 and 64789 is 4196448319.

LCM(64771,64789) = 4196448319

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Least Common Multiple of 64771 and 64789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64771 and 64789, than apply into the LCM equation.

GCF(64771,64789) = 1
LCM(64771,64789) = ( 64771 × 64789) / 1
LCM(64771,64789) = 4196448319 / 1
LCM(64771,64789) = 4196448319

Least Common Multiple (LCM) of 64771 and 64789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64771 and 64789. First we will calculate the prime factors of 64771 and 64789.

Prime Factorization of 64771

Prime factors of 64771 are 7, 19, 487. Prime factorization of 64771 in exponential form is:

64771 = 71 × 191 × 4871

Prime Factorization of 64789

Prime factors of 64789 are 67, 967. Prime factorization of 64789 in exponential form is:

64789 = 671 × 9671

Now multiplying the highest exponent prime factors to calculate the LCM of 64771 and 64789.

LCM(64771,64789) = 71 × 191 × 4871 × 671 × 9671
LCM(64771,64789) = 4196448319