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What is the Least Common Multiple of 54566 and 54574?

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 54566 and 54574 is 1488942442.

LCM(54566,54574) = 1488942442

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Least Common Multiple of 54566 and 54574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54566 and 54574, than apply into the LCM equation.

GCF(54566,54574) = 2
LCM(54566,54574) = ( 54566 × 54574) / 2
LCM(54566,54574) = 2977884884 / 2
LCM(54566,54574) = 1488942442

Least Common Multiple (LCM) of 54566 and 54574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54566 and 54574. First we will calculate the prime factors of 54566 and 54574.

Prime Factorization of 54566

Prime factors of 54566 are 2, 27283. Prime factorization of 54566 in exponential form is:

54566 = 21 × 272831

Prime Factorization of 54574

Prime factors of 54574 are 2, 13, 2099. Prime factorization of 54574 in exponential form is:

54574 = 21 × 131 × 20991

Now multiplying the highest exponent prime factors to calculate the LCM of 54566 and 54574.

LCM(54566,54574) = 21 × 272831 × 131 × 20991
LCM(54566,54574) = 1488942442