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What is the Least Common Multiple of 27205 and 27221?

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 27205 and 27221 is 740547305.

LCM(27205,27221) = 740547305

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Least Common Multiple of 27205 and 27221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27205 and 27221, than apply into the LCM equation.

GCF(27205,27221) = 1
LCM(27205,27221) = ( 27205 × 27221) / 1
LCM(27205,27221) = 740547305 / 1
LCM(27205,27221) = 740547305

Least Common Multiple (LCM) of 27205 and 27221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27205 and 27221. First we will calculate the prime factors of 27205 and 27221.

Prime Factorization of 27205

Prime factors of 27205 are 5, 5441. Prime factorization of 27205 in exponential form is:

27205 = 51 × 54411

Prime Factorization of 27221

Prime factors of 27221 are 163, 167. Prime factorization of 27221 in exponential form is:

27221 = 1631 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 27205 and 27221.

LCM(27205,27221) = 51 × 54411 × 1631 × 1671
LCM(27205,27221) = 740547305