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What is the Least Common Multiple of 8316 and 8324?

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 8316 and 8324 is 17305596.

LCM(8316,8324) = 17305596

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Least Common Multiple of 8316 and 8324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8316 and 8324, than apply into the LCM equation.

GCF(8316,8324) = 4
LCM(8316,8324) = ( 8316 × 8324) / 4
LCM(8316,8324) = 69222384 / 4
LCM(8316,8324) = 17305596

Least Common Multiple (LCM) of 8316 and 8324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8316 and 8324. First we will calculate the prime factors of 8316 and 8324.

Prime Factorization of 8316

Prime factors of 8316 are 2, 3, 7, 11. Prime factorization of 8316 in exponential form is:

8316 = 22 × 33 × 71 × 111

Prime Factorization of 8324

Prime factors of 8324 are 2, 2081. Prime factorization of 8324 in exponential form is:

8324 = 22 × 20811

Now multiplying the highest exponent prime factors to calculate the LCM of 8316 and 8324.

LCM(8316,8324) = 22 × 33 × 71 × 111 × 20811
LCM(8316,8324) = 17305596