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What is the Least Common Multiple of 64346 and 64363?

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 64346 and 64363 is 4141501598.

LCM(64346,64363) = 4141501598

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Least Common Multiple of 64346 and 64363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64346 and 64363, than apply into the LCM equation.

GCF(64346,64363) = 1
LCM(64346,64363) = ( 64346 × 64363) / 1
LCM(64346,64363) = 4141501598 / 1
LCM(64346,64363) = 4141501598

Least Common Multiple (LCM) of 64346 and 64363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64346 and 64363. First we will calculate the prime factors of 64346 and 64363.

Prime Factorization of 64346

Prime factors of 64346 are 2, 32173. Prime factorization of 64346 in exponential form is:

64346 = 21 × 321731

Prime Factorization of 64363

Prime factors of 64363 are 13, 4951. Prime factorization of 64363 in exponential form is:

64363 = 131 × 49511

Now multiplying the highest exponent prime factors to calculate the LCM of 64346 and 64363.

LCM(64346,64363) = 21 × 321731 × 131 × 49511
LCM(64346,64363) = 4141501598