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What is the Least Common Multiple of 3102 and 3106?

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 3102 and 3106 is 4817406.

LCM(3102,3106) = 4817406

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Least Common Multiple of 3102 and 3106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3102 and 3106, than apply into the LCM equation.

GCF(3102,3106) = 2
LCM(3102,3106) = ( 3102 × 3106) / 2
LCM(3102,3106) = 9634812 / 2
LCM(3102,3106) = 4817406

Least Common Multiple (LCM) of 3102 and 3106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3102 and 3106. First we will calculate the prime factors of 3102 and 3106.

Prime Factorization of 3102

Prime factors of 3102 are 2, 3, 11, 47. Prime factorization of 3102 in exponential form is:

3102 = 21 × 31 × 111 × 471

Prime Factorization of 3106

Prime factors of 3106 are 2, 1553. Prime factorization of 3106 in exponential form is:

3106 = 21 × 15531

Now multiplying the highest exponent prime factors to calculate the LCM of 3102 and 3106.

LCM(3102,3106) = 21 × 31 × 111 × 471 × 15531
LCM(3102,3106) = 4817406