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What is the Least Common Multiple of 5192 and 5209?

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 5192 and 5209 is 27045128.

LCM(5192,5209) = 27045128

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Least Common Multiple of 5192 and 5209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5192 and 5209, than apply into the LCM equation.

GCF(5192,5209) = 1
LCM(5192,5209) = ( 5192 × 5209) / 1
LCM(5192,5209) = 27045128 / 1
LCM(5192,5209) = 27045128

Least Common Multiple (LCM) of 5192 and 5209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5192 and 5209. First we will calculate the prime factors of 5192 and 5209.

Prime Factorization of 5192

Prime factors of 5192 are 2, 11, 59. Prime factorization of 5192 in exponential form is:

5192 = 23 × 111 × 591

Prime Factorization of 5209

Prime factors of 5209 are 5209. Prime factorization of 5209 in exponential form is:

5209 = 52091

Now multiplying the highest exponent prime factors to calculate the LCM of 5192 and 5209.

LCM(5192,5209) = 23 × 111 × 591 × 52091
LCM(5192,5209) = 27045128