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What is the Least Common Multiple of 8095 and 8106?

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 8095 and 8106 is 65618070.

LCM(8095,8106) = 65618070

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Least Common Multiple of 8095 and 8106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8095 and 8106, than apply into the LCM equation.

GCF(8095,8106) = 1
LCM(8095,8106) = ( 8095 × 8106) / 1
LCM(8095,8106) = 65618070 / 1
LCM(8095,8106) = 65618070

Least Common Multiple (LCM) of 8095 and 8106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8095 and 8106. First we will calculate the prime factors of 8095 and 8106.

Prime Factorization of 8095

Prime factors of 8095 are 5, 1619. Prime factorization of 8095 in exponential form is:

8095 = 51 × 16191

Prime Factorization of 8106

Prime factors of 8106 are 2, 3, 7, 193. Prime factorization of 8106 in exponential form is:

8106 = 21 × 31 × 71 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 8095 and 8106.

LCM(8095,8106) = 51 × 16191 × 21 × 31 × 71 × 1931
LCM(8095,8106) = 65618070