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What is the Least Common Multiple of 94308 and 94323?

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 94308 and 94323 is 2965137828.

LCM(94308,94323) = 2965137828

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Least Common Multiple of 94308 and 94323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94308 and 94323, than apply into the LCM equation.

GCF(94308,94323) = 3
LCM(94308,94323) = ( 94308 × 94323) / 3
LCM(94308,94323) = 8895413484 / 3
LCM(94308,94323) = 2965137828

Least Common Multiple (LCM) of 94308 and 94323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94308 and 94323. First we will calculate the prime factors of 94308 and 94323.

Prime Factorization of 94308

Prime factors of 94308 are 2, 3, 29, 271. Prime factorization of 94308 in exponential form is:

94308 = 22 × 31 × 291 × 2711

Prime Factorization of 94323

Prime factors of 94323 are 3, 23, 1367. Prime factorization of 94323 in exponential form is:

94323 = 31 × 231 × 13671

Now multiplying the highest exponent prime factors to calculate the LCM of 94308 and 94323.

LCM(94308,94323) = 22 × 31 × 291 × 2711 × 231 × 13671
LCM(94308,94323) = 2965137828