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What is the Least Common Multiple of 8466 and 8472?

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 8466 and 8472 is 11953992.

LCM(8466,8472) = 11953992

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Least Common Multiple of 8466 and 8472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8466 and 8472, than apply into the LCM equation.

GCF(8466,8472) = 6
LCM(8466,8472) = ( 8466 × 8472) / 6
LCM(8466,8472) = 71723952 / 6
LCM(8466,8472) = 11953992

Least Common Multiple (LCM) of 8466 and 8472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8466 and 8472. First we will calculate the prime factors of 8466 and 8472.

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

Prime Factorization of 8472

Prime factors of 8472 are 2, 3, 353. Prime factorization of 8472 in exponential form is:

8472 = 23 × 31 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 8466 and 8472.

LCM(8466,8472) = 23 × 31 × 171 × 831 × 3531
LCM(8466,8472) = 11953992