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What is the Least Common Multiple of 8206 and 8220?

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 8206 and 8220 is 33726660.

LCM(8206,8220) = 33726660

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Least Common Multiple of 8206 and 8220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8206 and 8220, than apply into the LCM equation.

GCF(8206,8220) = 2
LCM(8206,8220) = ( 8206 × 8220) / 2
LCM(8206,8220) = 67453320 / 2
LCM(8206,8220) = 33726660

Least Common Multiple (LCM) of 8206 and 8220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8206 and 8220. First we will calculate the prime factors of 8206 and 8220.

Prime Factorization of 8206

Prime factors of 8206 are 2, 11, 373. Prime factorization of 8206 in exponential form is:

8206 = 21 × 111 × 3731

Prime Factorization of 8220

Prime factors of 8220 are 2, 3, 5, 137. Prime factorization of 8220 in exponential form is:

8220 = 22 × 31 × 51 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 8206 and 8220.

LCM(8206,8220) = 22 × 111 × 3731 × 31 × 51 × 1371
LCM(8206,8220) = 33726660