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What is the Least Common Multiple of 8141 and 8154?

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 8141 and 8154 is 66381714.

LCM(8141,8154) = 66381714

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Least Common Multiple of 8141 and 8154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8141 and 8154, than apply into the LCM equation.

GCF(8141,8154) = 1
LCM(8141,8154) = ( 8141 × 8154) / 1
LCM(8141,8154) = 66381714 / 1
LCM(8141,8154) = 66381714

Least Common Multiple (LCM) of 8141 and 8154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8141 and 8154. First we will calculate the prime factors of 8141 and 8154.

Prime Factorization of 8141

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

8141 = 71 × 11631

Prime Factorization of 8154

Prime factors of 8154 are 2, 3, 151. Prime factorization of 8154 in exponential form is:

8154 = 21 × 33 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 8141 and 8154.

LCM(8141,8154) = 71 × 11631 × 21 × 33 × 1511
LCM(8141,8154) = 66381714