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What is the Least Common Multiple of 27209 and 27229?

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 27209 and 27229 is 740873861.

LCM(27209,27229) = 740873861

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Least Common Multiple of 27209 and 27229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27209 and 27229, than apply into the LCM equation.

GCF(27209,27229) = 1
LCM(27209,27229) = ( 27209 × 27229) / 1
LCM(27209,27229) = 740873861 / 1
LCM(27209,27229) = 740873861

Least Common Multiple (LCM) of 27209 and 27229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27209 and 27229. First we will calculate the prime factors of 27209 and 27229.

Prime Factorization of 27209

Prime factors of 27209 are 7, 13, 23. Prime factorization of 27209 in exponential form is:

27209 = 71 × 132 × 231

Prime Factorization of 27229

Prime factors of 27229 are 73, 373. Prime factorization of 27229 in exponential form is:

27229 = 731 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 27209 and 27229.

LCM(27209,27229) = 71 × 132 × 231 × 731 × 3731
LCM(27209,27229) = 740873861