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What is the Least Common Multiple of 64266 and 64285?

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 64266 and 64285 is 4131339810.

LCM(64266,64285) = 4131339810

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Least Common Multiple of 64266 and 64285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64266 and 64285, than apply into the LCM equation.

GCF(64266,64285) = 1
LCM(64266,64285) = ( 64266 × 64285) / 1
LCM(64266,64285) = 4131339810 / 1
LCM(64266,64285) = 4131339810

Least Common Multiple (LCM) of 64266 and 64285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64266 and 64285. First we will calculate the prime factors of 64266 and 64285.

Prime Factorization of 64266

Prime factors of 64266 are 2, 3, 10711. Prime factorization of 64266 in exponential form is:

64266 = 21 × 31 × 107111

Prime Factorization of 64285

Prime factors of 64285 are 5, 13, 23, 43. Prime factorization of 64285 in exponential form is:

64285 = 51 × 131 × 231 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 64266 and 64285.

LCM(64266,64285) = 21 × 31 × 107111 × 51 × 131 × 231 × 431
LCM(64266,64285) = 4131339810