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What is the Least Common Multiple of 8178 and 8186?

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 8178 and 8186 is 33472554.

LCM(8178,8186) = 33472554

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Least Common Multiple of 8178 and 8186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8178 and 8186, than apply into the LCM equation.

GCF(8178,8186) = 2
LCM(8178,8186) = ( 8178 × 8186) / 2
LCM(8178,8186) = 66945108 / 2
LCM(8178,8186) = 33472554

Least Common Multiple (LCM) of 8178 and 8186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8178 and 8186. First we will calculate the prime factors of 8178 and 8186.

Prime Factorization of 8178

Prime factors of 8178 are 2, 3, 29, 47. Prime factorization of 8178 in exponential form is:

8178 = 21 × 31 × 291 × 471

Prime Factorization of 8186

Prime factors of 8186 are 2, 4093. Prime factorization of 8186 in exponential form is:

8186 = 21 × 40931

Now multiplying the highest exponent prime factors to calculate the LCM of 8178 and 8186.

LCM(8178,8186) = 21 × 31 × 291 × 471 × 40931
LCM(8178,8186) = 33472554