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What is the Least Common Multiple of 8154 and 8173?

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 8154 and 8173 is 66642642.

LCM(8154,8173) = 66642642

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Least Common Multiple of 8154 and 8173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8154 and 8173, than apply into the LCM equation.

GCF(8154,8173) = 1
LCM(8154,8173) = ( 8154 × 8173) / 1
LCM(8154,8173) = 66642642 / 1
LCM(8154,8173) = 66642642

Least Common Multiple (LCM) of 8154 and 8173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8154 and 8173. First we will calculate the prime factors of 8154 and 8173.

Prime Factorization of 8154

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

8154 = 21 × 33 × 1511

Prime Factorization of 8173

Prime factors of 8173 are 11, 743. Prime factorization of 8173 in exponential form is:

8173 = 111 × 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 8154 and 8173.

LCM(8154,8173) = 21 × 33 × 1511 × 111 × 7431
LCM(8154,8173) = 66642642