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What is the Least Common Multiple of 64296 and 64308?

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 64296 and 64308 is 344562264.

LCM(64296,64308) = 344562264

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Least Common Multiple of 64296 and 64308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64296 and 64308, than apply into the LCM equation.

GCF(64296,64308) = 12
LCM(64296,64308) = ( 64296 × 64308) / 12
LCM(64296,64308) = 4134747168 / 12
LCM(64296,64308) = 344562264

Least Common Multiple (LCM) of 64296 and 64308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64296 and 64308. First we will calculate the prime factors of 64296 and 64308.

Prime Factorization of 64296

Prime factors of 64296 are 2, 3, 19, 47. Prime factorization of 64296 in exponential form is:

64296 = 23 × 32 × 191 × 471

Prime Factorization of 64308

Prime factors of 64308 are 2, 3, 23, 233. Prime factorization of 64308 in exponential form is:

64308 = 22 × 31 × 231 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 64296 and 64308.

LCM(64296,64308) = 23 × 32 × 191 × 471 × 231 × 2331
LCM(64296,64308) = 344562264