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What is the Least Common Multiple of 21557 and 21574?

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 21557 and 21574 is 465070718.

LCM(21557,21574) = 465070718

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Least Common Multiple of 21557 and 21574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21557 and 21574, than apply into the LCM equation.

GCF(21557,21574) = 1
LCM(21557,21574) = ( 21557 × 21574) / 1
LCM(21557,21574) = 465070718 / 1
LCM(21557,21574) = 465070718

Least Common Multiple (LCM) of 21557 and 21574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21557 and 21574. First we will calculate the prime factors of 21557 and 21574.

Prime Factorization of 21557

Prime factors of 21557 are 21557. Prime factorization of 21557 in exponential form is:

21557 = 215571

Prime Factorization of 21574

Prime factors of 21574 are 2, 7, 23, 67. Prime factorization of 21574 in exponential form is:

21574 = 21 × 71 × 231 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 21557 and 21574.

LCM(21557,21574) = 215571 × 21 × 71 × 231 × 671
LCM(21557,21574) = 465070718