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What is the Least Common Multiple of 8350 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 8350 and 8364 is 34919700.

LCM(8350,8364) = 34919700

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Least Common Multiple of 8350 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 8350 and 8364, than apply into the LCM equation.

GCF(8350,8364) = 2
LCM(8350,8364) = ( 8350 × 8364) / 2
LCM(8350,8364) = 69839400 / 2
LCM(8350,8364) = 34919700

Least Common Multiple (LCM) of 8350 and 8364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8350 and 8364. First we will calculate the prime factors of 8350 and 8364.

Prime Factorization of 8350

Prime factors of 8350 are 2, 5, 167. Prime factorization of 8350 in exponential form is:

8350 = 21 × 52 × 1671

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 8350 and 8364.

LCM(8350,8364) = 22 × 52 × 1671 × 31 × 171 × 411
LCM(8350,8364) = 34919700