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What is the Least Common Multiple of 5211 and 5219?

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 5211 and 5219 is 27196209.

LCM(5211,5219) = 27196209

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Least Common Multiple of 5211 and 5219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5211 and 5219, than apply into the LCM equation.

GCF(5211,5219) = 1
LCM(5211,5219) = ( 5211 × 5219) / 1
LCM(5211,5219) = 27196209 / 1
LCM(5211,5219) = 27196209

Least Common Multiple (LCM) of 5211 and 5219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5211 and 5219. First we will calculate the prime factors of 5211 and 5219.

Prime Factorization of 5211

Prime factors of 5211 are 3, 193. Prime factorization of 5211 in exponential form is:

5211 = 33 × 1931

Prime Factorization of 5219

Prime factors of 5219 are 17, 307. Prime factorization of 5219 in exponential form is:

5219 = 171 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 5211 and 5219.

LCM(5211,5219) = 33 × 1931 × 171 × 3071
LCM(5211,5219) = 27196209