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What is the Least Common Multiple of 94564 and 94574?

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 94564 and 94574 is 4471647868.

LCM(94564,94574) = 4471647868

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Least Common Multiple of 94564 and 94574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94564 and 94574, than apply into the LCM equation.

GCF(94564,94574) = 2
LCM(94564,94574) = ( 94564 × 94574) / 2
LCM(94564,94574) = 8943295736 / 2
LCM(94564,94574) = 4471647868

Least Common Multiple (LCM) of 94564 and 94574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94564 and 94574. First we will calculate the prime factors of 94564 and 94574.

Prime Factorization of 94564

Prime factors of 94564 are 2, 47, 503. Prime factorization of 94564 in exponential form is:

94564 = 22 × 471 × 5031

Prime Factorization of 94574

Prime factors of 94574 are 2, 47287. Prime factorization of 94574 in exponential form is:

94574 = 21 × 472871

Now multiplying the highest exponent prime factors to calculate the LCM of 94564 and 94574.

LCM(94564,94574) = 22 × 471 × 5031 × 472871
LCM(94564,94574) = 4471647868