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What is the Least Common Multiple of 6171 and 6190?

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 6171 and 6190 is 38198490.

LCM(6171,6190) = 38198490

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Least Common Multiple of 6171 and 6190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6171 and 6190, than apply into the LCM equation.

GCF(6171,6190) = 1
LCM(6171,6190) = ( 6171 × 6190) / 1
LCM(6171,6190) = 38198490 / 1
LCM(6171,6190) = 38198490

Least Common Multiple (LCM) of 6171 and 6190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6171 and 6190. First we will calculate the prime factors of 6171 and 6190.

Prime Factorization of 6171

Prime factors of 6171 are 3, 11, 17. Prime factorization of 6171 in exponential form is:

6171 = 31 × 112 × 171

Prime Factorization of 6190

Prime factors of 6190 are 2, 5, 619. Prime factorization of 6190 in exponential form is:

6190 = 21 × 51 × 6191

Now multiplying the highest exponent prime factors to calculate the LCM of 6171 and 6190.

LCM(6171,6190) = 31 × 112 × 171 × 21 × 51 × 6191
LCM(6171,6190) = 38198490