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What is the Least Common Multiple of 8198 and 8216?

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 8198 and 8216 is 33677384.

LCM(8198,8216) = 33677384

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Least Common Multiple of 8198 and 8216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8198 and 8216, than apply into the LCM equation.

GCF(8198,8216) = 2
LCM(8198,8216) = ( 8198 × 8216) / 2
LCM(8198,8216) = 67354768 / 2
LCM(8198,8216) = 33677384

Least Common Multiple (LCM) of 8198 and 8216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8198 and 8216. First we will calculate the prime factors of 8198 and 8216.

Prime Factorization of 8198

Prime factors of 8198 are 2, 4099. Prime factorization of 8198 in exponential form is:

8198 = 21 × 40991

Prime Factorization of 8216

Prime factors of 8216 are 2, 13, 79. Prime factorization of 8216 in exponential form is:

8216 = 23 × 131 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 8198 and 8216.

LCM(8198,8216) = 23 × 40991 × 131 × 791
LCM(8198,8216) = 33677384