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What is the Least Common Multiple of 64245 and 64259?

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 64245 and 64259 is 4128319455.

LCM(64245,64259) = 4128319455

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Least Common Multiple of 64245 and 64259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64245 and 64259, than apply into the LCM equation.

GCF(64245,64259) = 1
LCM(64245,64259) = ( 64245 × 64259) / 1
LCM(64245,64259) = 4128319455 / 1
LCM(64245,64259) = 4128319455

Least Common Multiple (LCM) of 64245 and 64259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64245 and 64259. First we will calculate the prime factors of 64245 and 64259.

Prime Factorization of 64245

Prime factors of 64245 are 3, 5, 4283. Prime factorization of 64245 in exponential form is:

64245 = 31 × 51 × 42831

Prime Factorization of 64259

Prime factors of 64259 are 13, 4943. Prime factorization of 64259 in exponential form is:

64259 = 131 × 49431

Now multiplying the highest exponent prime factors to calculate the LCM of 64245 and 64259.

LCM(64245,64259) = 31 × 51 × 42831 × 131 × 49431
LCM(64245,64259) = 4128319455