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What is the Least Common Multiple of 64284 and 64298?

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 64284 and 64298 is 2066666316.

LCM(64284,64298) = 2066666316

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Least Common Multiple of 64284 and 64298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64284 and 64298, than apply into the LCM equation.

GCF(64284,64298) = 2
LCM(64284,64298) = ( 64284 × 64298) / 2
LCM(64284,64298) = 4133332632 / 2
LCM(64284,64298) = 2066666316

Least Common Multiple (LCM) of 64284 and 64298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64284 and 64298. First we will calculate the prime factors of 64284 and 64298.

Prime Factorization of 64284

Prime factors of 64284 are 2, 3, 11, 487. Prime factorization of 64284 in exponential form is:

64284 = 22 × 31 × 111 × 4871

Prime Factorization of 64298

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

64298 = 21 × 131 × 24731

Now multiplying the highest exponent prime factors to calculate the LCM of 64284 and 64298.

LCM(64284,64298) = 22 × 31 × 111 × 4871 × 131 × 24731
LCM(64284,64298) = 2066666316