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What is the Least Common Multiple of 64298 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 64298 and 64309 is 4134940082.

LCM(64298,64309) = 4134940082

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Least Common Multiple of 64298 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 64298 and 64309, than apply into the LCM equation.

GCF(64298,64309) = 1
LCM(64298,64309) = ( 64298 × 64309) / 1
LCM(64298,64309) = 4134940082 / 1
LCM(64298,64309) = 4134940082

Least Common Multiple (LCM) of 64298 and 64309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64298 and 64309. First we will calculate the prime factors of 64298 and 64309.

Prime Factorization of 64298

Prime factors of 64298 are 2, 13, 2473. Prime factorization of 64298 in exponential form is:

64298 = 21 × 131 × 24731

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 64298 and 64309.

LCM(64298,64309) = 21 × 131 × 24731 × 71 × 91871
LCM(64298,64309) = 4134940082