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What is the Least Common Multiple of 94554 and 94573?

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 94554 and 94573 is 8942255442.

LCM(94554,94573) = 8942255442

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Least Common Multiple of 94554 and 94573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94554 and 94573, than apply into the LCM equation.

GCF(94554,94573) = 1
LCM(94554,94573) = ( 94554 × 94573) / 1
LCM(94554,94573) = 8942255442 / 1
LCM(94554,94573) = 8942255442

Least Common Multiple (LCM) of 94554 and 94573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94554 and 94573. First we will calculate the prime factors of 94554 and 94573.

Prime Factorization of 94554

Prime factors of 94554 are 2, 3, 17, 103. Prime factorization of 94554 in exponential form is:

94554 = 21 × 33 × 171 × 1031

Prime Factorization of 94573

Prime factors of 94573 are 94573. Prime factorization of 94573 in exponential form is:

94573 = 945731

Now multiplying the highest exponent prime factors to calculate the LCM of 94554 and 94573.

LCM(94554,94573) = 21 × 33 × 171 × 1031 × 945731
LCM(94554,94573) = 8942255442