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What is the Least Common Multiple of 8151 and 8171?

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 8151 and 8171 is 66601821.

LCM(8151,8171) = 66601821

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Least Common Multiple of 8151 and 8171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8151 and 8171, than apply into the LCM equation.

GCF(8151,8171) = 1
LCM(8151,8171) = ( 8151 × 8171) / 1
LCM(8151,8171) = 66601821 / 1
LCM(8151,8171) = 66601821

Least Common Multiple (LCM) of 8151 and 8171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8151 and 8171. First we will calculate the prime factors of 8151 and 8171.

Prime Factorization of 8151

Prime factors of 8151 are 3, 11, 13, 19. Prime factorization of 8151 in exponential form is:

8151 = 31 × 111 × 131 × 191

Prime Factorization of 8171

Prime factors of 8171 are 8171. Prime factorization of 8171 in exponential form is:

8171 = 81711

Now multiplying the highest exponent prime factors to calculate the LCM of 8151 and 8171.

LCM(8151,8171) = 31 × 111 × 131 × 191 × 81711
LCM(8151,8171) = 66601821