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What is the Least Common Multiple of 8358 and 8364?

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 8358 and 8364 is 11651052.

LCM(8358,8364) = 11651052

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Least Common Multiple of 8358 and 8364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8358 and 8364, than apply into the LCM equation.

GCF(8358,8364) = 6
LCM(8358,8364) = ( 8358 × 8364) / 6
LCM(8358,8364) = 69906312 / 6
LCM(8358,8364) = 11651052

Least Common Multiple (LCM) of 8358 and 8364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8358 and 8364. First we will calculate the prime factors of 8358 and 8364.

Prime Factorization of 8358

Prime factors of 8358 are 2, 3, 7, 199. Prime factorization of 8358 in exponential form is:

8358 = 21 × 31 × 71 × 1991

Prime Factorization of 8364

Prime factors of 8364 are 2, 3, 17, 41. Prime factorization of 8364 in exponential form is:

8364 = 22 × 31 × 171 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 8358 and 8364.

LCM(8358,8364) = 22 × 31 × 71 × 1991 × 171 × 411
LCM(8358,8364) = 11651052