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What is the Least Common Multiple of 66305 and 66313?

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 66305 and 66313 is 4396883465.

LCM(66305,66313) = 4396883465

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Least Common Multiple of 66305 and 66313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66305 and 66313, than apply into the LCM equation.

GCF(66305,66313) = 1
LCM(66305,66313) = ( 66305 × 66313) / 1
LCM(66305,66313) = 4396883465 / 1
LCM(66305,66313) = 4396883465

Least Common Multiple (LCM) of 66305 and 66313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66305 and 66313. First we will calculate the prime factors of 66305 and 66313.

Prime Factorization of 66305

Prime factors of 66305 are 5, 89, 149. Prime factorization of 66305 in exponential form is:

66305 = 51 × 891 × 1491

Prime Factorization of 66313

Prime factors of 66313 are 13, 5101. Prime factorization of 66313 in exponential form is:

66313 = 131 × 51011

Now multiplying the highest exponent prime factors to calculate the LCM of 66305 and 66313.

LCM(66305,66313) = 51 × 891 × 1491 × 131 × 51011
LCM(66305,66313) = 4396883465