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What is the Least Common Multiple of 56559 and 56574?

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 56559 and 56574 is 1066589622.

LCM(56559,56574) = 1066589622

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Least Common Multiple of 56559 and 56574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56559 and 56574, than apply into the LCM equation.

GCF(56559,56574) = 3
LCM(56559,56574) = ( 56559 × 56574) / 3
LCM(56559,56574) = 3199768866 / 3
LCM(56559,56574) = 1066589622

Least Common Multiple (LCM) of 56559 and 56574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56559 and 56574. First we will calculate the prime factors of 56559 and 56574.

Prime Factorization of 56559

Prime factors of 56559 are 3, 17, 1109. Prime factorization of 56559 in exponential form is:

56559 = 31 × 171 × 11091

Prime Factorization of 56574

Prime factors of 56574 are 2, 3, 7, 449. Prime factorization of 56574 in exponential form is:

56574 = 21 × 32 × 71 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 56559 and 56574.

LCM(56559,56574) = 32 × 171 × 11091 × 21 × 71 × 4491
LCM(56559,56574) = 1066589622