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What is the Least Common Multiple of 7191 and 7201?

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 7191 and 7201 is 51782391.

LCM(7191,7201) = 51782391

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Least Common Multiple of 7191 and 7201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7191 and 7201, than apply into the LCM equation.

GCF(7191,7201) = 1
LCM(7191,7201) = ( 7191 × 7201) / 1
LCM(7191,7201) = 51782391 / 1
LCM(7191,7201) = 51782391

Least Common Multiple (LCM) of 7191 and 7201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7191 and 7201. First we will calculate the prime factors of 7191 and 7201.

Prime Factorization of 7191

Prime factors of 7191 are 3, 17, 47. Prime factorization of 7191 in exponential form is:

7191 = 32 × 171 × 471

Prime Factorization of 7201

Prime factors of 7201 are 19, 379. Prime factorization of 7201 in exponential form is:

7201 = 191 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 7191 and 7201.

LCM(7191,7201) = 32 × 171 × 471 × 191 × 3791
LCM(7191,7201) = 51782391