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What is the Least Common Multiple of 94425 and 94445?

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 94425 and 94445 is 1783593825.

LCM(94425,94445) = 1783593825

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Least Common Multiple of 94425 and 94445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94425 and 94445, than apply into the LCM equation.

GCF(94425,94445) = 5
LCM(94425,94445) = ( 94425 × 94445) / 5
LCM(94425,94445) = 8917969125 / 5
LCM(94425,94445) = 1783593825

Least Common Multiple (LCM) of 94425 and 94445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94425 and 94445. First we will calculate the prime factors of 94425 and 94445.

Prime Factorization of 94425

Prime factors of 94425 are 3, 5, 1259. Prime factorization of 94425 in exponential form is:

94425 = 31 × 52 × 12591

Prime Factorization of 94445

Prime factors of 94445 are 5, 13, 1453. Prime factorization of 94445 in exponential form is:

94445 = 51 × 131 × 14531

Now multiplying the highest exponent prime factors to calculate the LCM of 94425 and 94445.

LCM(94425,94445) = 31 × 52 × 12591 × 131 × 14531
LCM(94425,94445) = 1783593825