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What is the Least Common Multiple of 8272 and 8280?

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 8272 and 8280 is 8561520.

LCM(8272,8280) = 8561520

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Least Common Multiple of 8272 and 8280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8272 and 8280, than apply into the LCM equation.

GCF(8272,8280) = 8
LCM(8272,8280) = ( 8272 × 8280) / 8
LCM(8272,8280) = 68492160 / 8
LCM(8272,8280) = 8561520

Least Common Multiple (LCM) of 8272 and 8280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8272 and 8280. First we will calculate the prime factors of 8272 and 8280.

Prime Factorization of 8272

Prime factors of 8272 are 2, 11, 47. Prime factorization of 8272 in exponential form is:

8272 = 24 × 111 × 471

Prime Factorization of 8280

Prime factors of 8280 are 2, 3, 5, 23. Prime factorization of 8280 in exponential form is:

8280 = 23 × 32 × 51 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 8272 and 8280.

LCM(8272,8280) = 24 × 111 × 471 × 32 × 51 × 231
LCM(8272,8280) = 8561520