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What is the Least Common Multiple of 92358 and 92366?

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 92358 and 92366 is 4265369514.

LCM(92358,92366) = 4265369514

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Least Common Multiple of 92358 and 92366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92358 and 92366, than apply into the LCM equation.

GCF(92358,92366) = 2
LCM(92358,92366) = ( 92358 × 92366) / 2
LCM(92358,92366) = 8530739028 / 2
LCM(92358,92366) = 4265369514

Least Common Multiple (LCM) of 92358 and 92366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92358 and 92366. First we will calculate the prime factors of 92358 and 92366.

Prime Factorization of 92358

Prime factors of 92358 are 2, 3, 7, 733. Prime factorization of 92358 in exponential form is:

92358 = 21 × 32 × 71 × 7331

Prime Factorization of 92366

Prime factors of 92366 are 2, 46183. Prime factorization of 92366 in exponential form is:

92366 = 21 × 461831

Now multiplying the highest exponent prime factors to calculate the LCM of 92358 and 92366.

LCM(92358,92366) = 21 × 32 × 71 × 7331 × 461831
LCM(92358,92366) = 4265369514