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What is the Least Common Multiple of 94365 and 94373?

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 94365 and 94373 is 8905508145.

LCM(94365,94373) = 8905508145

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Least Common Multiple of 94365 and 94373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94365 and 94373, than apply into the LCM equation.

GCF(94365,94373) = 1
LCM(94365,94373) = ( 94365 × 94373) / 1
LCM(94365,94373) = 8905508145 / 1
LCM(94365,94373) = 8905508145

Least Common Multiple (LCM) of 94365 and 94373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94365 and 94373. First we will calculate the prime factors of 94365 and 94373.

Prime Factorization of 94365

Prime factors of 94365 are 3, 5, 233. Prime factorization of 94365 in exponential form is:

94365 = 34 × 51 × 2331

Prime Factorization of 94373

Prime factors of 94373 are 19, 4967. Prime factorization of 94373 in exponential form is:

94373 = 191 × 49671

Now multiplying the highest exponent prime factors to calculate the LCM of 94365 and 94373.

LCM(94365,94373) = 34 × 51 × 2331 × 191 × 49671
LCM(94365,94373) = 8905508145