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What is the Least Common Multiple of 69146 and 69154?

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 69146 and 69154 is 2390861242.

LCM(69146,69154) = 2390861242

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Least Common Multiple of 69146 and 69154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69146 and 69154, than apply into the LCM equation.

GCF(69146,69154) = 2
LCM(69146,69154) = ( 69146 × 69154) / 2
LCM(69146,69154) = 4781722484 / 2
LCM(69146,69154) = 2390861242

Least Common Multiple (LCM) of 69146 and 69154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69146 and 69154. First we will calculate the prime factors of 69146 and 69154.

Prime Factorization of 69146

Prime factors of 69146 are 2, 7, 11, 449. Prime factorization of 69146 in exponential form is:

69146 = 21 × 71 × 111 × 4491

Prime Factorization of 69154

Prime factors of 69154 are 2, 71, 487. Prime factorization of 69154 in exponential form is:

69154 = 21 × 711 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 69146 and 69154.

LCM(69146,69154) = 21 × 71 × 111 × 4491 × 711 × 4871
LCM(69146,69154) = 2390861242