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What is the Least Common Multiple of 2201 and 2209?

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 2201 and 2209 is 4862009.

LCM(2201,2209) = 4862009

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Least Common Multiple of 2201 and 2209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2201 and 2209, than apply into the LCM equation.

GCF(2201,2209) = 1
LCM(2201,2209) = ( 2201 × 2209) / 1
LCM(2201,2209) = 4862009 / 1
LCM(2201,2209) = 4862009

Least Common Multiple (LCM) of 2201 and 2209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2201 and 2209. First we will calculate the prime factors of 2201 and 2209.

Prime Factorization of 2201

Prime factors of 2201 are 31, 71. Prime factorization of 2201 in exponential form is:

2201 = 311 × 711

Prime Factorization of 2209

Prime factors of 2209 are 47. Prime factorization of 2209 in exponential form is:

2209 = 472

Now multiplying the highest exponent prime factors to calculate the LCM of 2201 and 2209.

LCM(2201,2209) = 311 × 711 × 472
LCM(2201,2209) = 4862009