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What is the Least Common Multiple of 94469 and 94483?

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 94469 and 94483 is 8925714527.

LCM(94469,94483) = 8925714527

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Least Common Multiple of 94469 and 94483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94469 and 94483, than apply into the LCM equation.

GCF(94469,94483) = 1
LCM(94469,94483) = ( 94469 × 94483) / 1
LCM(94469,94483) = 8925714527 / 1
LCM(94469,94483) = 8925714527

Least Common Multiple (LCM) of 94469 and 94483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94469 and 94483. First we will calculate the prime factors of 94469 and 94483.

Prime Factorization of 94469

Prime factors of 94469 are 17, 5557. Prime factorization of 94469 in exponential form is:

94469 = 171 × 55571

Prime Factorization of 94483

Prime factors of 94483 are 94483. Prime factorization of 94483 in exponential form is:

94483 = 944831

Now multiplying the highest exponent prime factors to calculate the LCM of 94469 and 94483.

LCM(94469,94483) = 171 × 55571 × 944831
LCM(94469,94483) = 8925714527