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What is the Least Common Multiple of 94319 and 94329?

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 94319 and 94329 is 8897016951.

LCM(94319,94329) = 8897016951

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Least Common Multiple of 94319 and 94329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94319 and 94329, than apply into the LCM equation.

GCF(94319,94329) = 1
LCM(94319,94329) = ( 94319 × 94329) / 1
LCM(94319,94329) = 8897016951 / 1
LCM(94319,94329) = 8897016951

Least Common Multiple (LCM) of 94319 and 94329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94319 and 94329. First we will calculate the prime factors of 94319 and 94329.

Prime Factorization of 94319

Prime factors of 94319 are 257, 367. Prime factorization of 94319 in exponential form is:

94319 = 2571 × 3671

Prime Factorization of 94329

Prime factors of 94329 are 3, 47, 223. Prime factorization of 94329 in exponential form is:

94329 = 32 × 471 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 94319 and 94329.

LCM(94319,94329) = 2571 × 3671 × 32 × 471 × 2231
LCM(94319,94329) = 8897016951