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What is the Least Common Multiple of 6164 and 6169?

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 6164 and 6169 is 38025716.

LCM(6164,6169) = 38025716

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Least Common Multiple of 6164 and 6169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6164 and 6169, than apply into the LCM equation.

GCF(6164,6169) = 1
LCM(6164,6169) = ( 6164 × 6169) / 1
LCM(6164,6169) = 38025716 / 1
LCM(6164,6169) = 38025716

Least Common Multiple (LCM) of 6164 and 6169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6164 and 6169. First we will calculate the prime factors of 6164 and 6169.

Prime Factorization of 6164

Prime factors of 6164 are 2, 23, 67. Prime factorization of 6164 in exponential form is:

6164 = 22 × 231 × 671

Prime Factorization of 6169

Prime factors of 6169 are 31, 199. Prime factorization of 6169 in exponential form is:

6169 = 311 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 6164 and 6169.

LCM(6164,6169) = 22 × 231 × 671 × 311 × 1991
LCM(6164,6169) = 38025716