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What is the Least Common Multiple of 64295 and 64309?

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 64295 and 64309 is 590678165.

LCM(64295,64309) = 590678165

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Least Common Multiple of 64295 and 64309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64295 and 64309, than apply into the LCM equation.

GCF(64295,64309) = 7
LCM(64295,64309) = ( 64295 × 64309) / 7
LCM(64295,64309) = 4134747155 / 7
LCM(64295,64309) = 590678165

Least Common Multiple (LCM) of 64295 and 64309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64295 and 64309. First we will calculate the prime factors of 64295 and 64309.

Prime Factorization of 64295

Prime factors of 64295 are 5, 7, 11, 167. Prime factorization of 64295 in exponential form is:

64295 = 51 × 71 × 111 × 1671

Prime Factorization of 64309

Prime factors of 64309 are 7, 9187. Prime factorization of 64309 in exponential form is:

64309 = 71 × 91871

Now multiplying the highest exponent prime factors to calculate the LCM of 64295 and 64309.

LCM(64295,64309) = 51 × 71 × 111 × 1671 × 91871
LCM(64295,64309) = 590678165