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What is the Least Common Multiple of 69141 and 69146?

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 69141 and 69146 is 4780823586.

LCM(69141,69146) = 4780823586

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Least Common Multiple of 69141 and 69146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69141 and 69146, than apply into the LCM equation.

GCF(69141,69146) = 1
LCM(69141,69146) = ( 69141 × 69146) / 1
LCM(69141,69146) = 4780823586 / 1
LCM(69141,69146) = 4780823586

Least Common Multiple (LCM) of 69141 and 69146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69141 and 69146. First we will calculate the prime factors of 69141 and 69146.

Prime Factorization of 69141

Prime factors of 69141 are 3, 19, 1213. Prime factorization of 69141 in exponential form is:

69141 = 31 × 191 × 12131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 69141 and 69146.

LCM(69141,69146) = 31 × 191 × 12131 × 21 × 71 × 111 × 4491
LCM(69141,69146) = 4780823586