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What is the Least Common Multiple of 64286 and 64294?

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 64286 and 64294 is 2066602042.

LCM(64286,64294) = 2066602042

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Least Common Multiple of 64286 and 64294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64286 and 64294, than apply into the LCM equation.

GCF(64286,64294) = 2
LCM(64286,64294) = ( 64286 × 64294) / 2
LCM(64286,64294) = 4133204084 / 2
LCM(64286,64294) = 2066602042

Least Common Multiple (LCM) of 64286 and 64294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64286 and 64294. First we will calculate the prime factors of 64286 and 64294.

Prime Factorization of 64286

Prime factors of 64286 are 2, 32143. Prime factorization of 64286 in exponential form is:

64286 = 21 × 321431

Prime Factorization of 64294

Prime factors of 64294 are 2, 17, 31, 61. Prime factorization of 64294 in exponential form is:

64294 = 21 × 171 × 311 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 64286 and 64294.

LCM(64286,64294) = 21 × 321431 × 171 × 311 × 611
LCM(64286,64294) = 2066602042