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What is the Least Common Multiple of 18102 and 18106?

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 18102 and 18106 is 163877406.

LCM(18102,18106) = 163877406

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Least Common Multiple of 18102 and 18106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18102 and 18106, than apply into the LCM equation.

GCF(18102,18106) = 2
LCM(18102,18106) = ( 18102 × 18106) / 2
LCM(18102,18106) = 327754812 / 2
LCM(18102,18106) = 163877406

Least Common Multiple (LCM) of 18102 and 18106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18102 and 18106. First we will calculate the prime factors of 18102 and 18106.

Prime Factorization of 18102

Prime factors of 18102 are 2, 3, 7, 431. Prime factorization of 18102 in exponential form is:

18102 = 21 × 31 × 71 × 4311

Prime Factorization of 18106

Prime factors of 18106 are 2, 11, 823. Prime factorization of 18106 in exponential form is:

18106 = 21 × 111 × 8231

Now multiplying the highest exponent prime factors to calculate the LCM of 18102 and 18106.

LCM(18102,18106) = 21 × 31 × 71 × 4311 × 111 × 8231
LCM(18102,18106) = 163877406