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What is the Least Common Multiple of 8451 and 8466?

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 8451 and 8466 is 23848722.

LCM(8451,8466) = 23848722

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Least Common Multiple of 8451 and 8466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8451 and 8466, than apply into the LCM equation.

GCF(8451,8466) = 3
LCM(8451,8466) = ( 8451 × 8466) / 3
LCM(8451,8466) = 71546166 / 3
LCM(8451,8466) = 23848722

Least Common Multiple (LCM) of 8451 and 8466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8451 and 8466. First we will calculate the prime factors of 8451 and 8466.

Prime Factorization of 8451

Prime factors of 8451 are 3, 313. Prime factorization of 8451 in exponential form is:

8451 = 33 × 3131

Prime Factorization of 8466

Prime factors of 8466 are 2, 3, 17, 83. Prime factorization of 8466 in exponential form is:

8466 = 21 × 31 × 171 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 8451 and 8466.

LCM(8451,8466) = 33 × 3131 × 21 × 171 × 831
LCM(8451,8466) = 23848722