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What is the Least Common Multiple of 64789 and 64795?

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 64789 and 64795 is 4198003255.

LCM(64789,64795) = 4198003255

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Least Common Multiple of 64789 and 64795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64789 and 64795, than apply into the LCM equation.

GCF(64789,64795) = 1
LCM(64789,64795) = ( 64789 × 64795) / 1
LCM(64789,64795) = 4198003255 / 1
LCM(64789,64795) = 4198003255

Least Common Multiple (LCM) of 64789 and 64795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64789 and 64795. First we will calculate the prime factors of 64789 and 64795.

Prime Factorization of 64789

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

64789 = 671 × 9671

Prime Factorization of 64795

Prime factors of 64795 are 5, 12959. Prime factorization of 64795 in exponential form is:

64795 = 51 × 129591

Now multiplying the highest exponent prime factors to calculate the LCM of 64789 and 64795.

LCM(64789,64795) = 671 × 9671 × 51 × 129591
LCM(64789,64795) = 4198003255