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What is the Least Common Multiple of 21143 and 21155?

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 21143 and 21155 is 447280165.

LCM(21143,21155) = 447280165

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Least Common Multiple of 21143 and 21155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21143 and 21155, than apply into the LCM equation.

GCF(21143,21155) = 1
LCM(21143,21155) = ( 21143 × 21155) / 1
LCM(21143,21155) = 447280165 / 1
LCM(21143,21155) = 447280165

Least Common Multiple (LCM) of 21143 and 21155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21143 and 21155. First we will calculate the prime factors of 21143 and 21155.

Prime Factorization of 21143

Prime factors of 21143 are 21143. Prime factorization of 21143 in exponential form is:

21143 = 211431

Prime Factorization of 21155

Prime factors of 21155 are 5, 4231. Prime factorization of 21155 in exponential form is:

21155 = 51 × 42311

Now multiplying the highest exponent prime factors to calculate the LCM of 21143 and 21155.

LCM(21143,21155) = 211431 × 51 × 42311
LCM(21143,21155) = 447280165