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What is the Least Common Multiple of 92302 and 92306?

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 92302 and 92306 is 4260014206.

LCM(92302,92306) = 4260014206

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Least Common Multiple of 92302 and 92306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92302 and 92306, than apply into the LCM equation.

GCF(92302,92306) = 2
LCM(92302,92306) = ( 92302 × 92306) / 2
LCM(92302,92306) = 8520028412 / 2
LCM(92302,92306) = 4260014206

Least Common Multiple (LCM) of 92302 and 92306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92302 and 92306. First we will calculate the prime factors of 92302 and 92306.

Prime Factorization of 92302

Prime factors of 92302 are 2, 7, 19, 347. Prime factorization of 92302 in exponential form is:

92302 = 21 × 71 × 191 × 3471

Prime Factorization of 92306

Prime factors of 92306 are 2, 46153. Prime factorization of 92306 in exponential form is:

92306 = 21 × 461531

Now multiplying the highest exponent prime factors to calculate the LCM of 92302 and 92306.

LCM(92302,92306) = 21 × 71 × 191 × 3471 × 461531
LCM(92302,92306) = 4260014206