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What is the Least Common Multiple of 8124 and 8141?

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 8124 and 8141 is 66137484.

LCM(8124,8141) = 66137484

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Least Common Multiple of 8124 and 8141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8124 and 8141, than apply into the LCM equation.

GCF(8124,8141) = 1
LCM(8124,8141) = ( 8124 × 8141) / 1
LCM(8124,8141) = 66137484 / 1
LCM(8124,8141) = 66137484

Least Common Multiple (LCM) of 8124 and 8141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8124 and 8141. First we will calculate the prime factors of 8124 and 8141.

Prime Factorization of 8124

Prime factors of 8124 are 2, 3, 677. Prime factorization of 8124 in exponential form is:

8124 = 22 × 31 × 6771

Prime Factorization of 8141

Prime factors of 8141 are 7, 1163. Prime factorization of 8141 in exponential form is:

8141 = 71 × 11631

Now multiplying the highest exponent prime factors to calculate the LCM of 8124 and 8141.

LCM(8124,8141) = 22 × 31 × 6771 × 71 × 11631
LCM(8124,8141) = 66137484