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What is the Least Common Multiple of 1258 and 1269?

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 1258 and 1269 is 1596402.

LCM(1258,1269) = 1596402

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Least Common Multiple of 1258 and 1269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1258 and 1269, than apply into the LCM equation.

GCF(1258,1269) = 1
LCM(1258,1269) = ( 1258 × 1269) / 1
LCM(1258,1269) = 1596402 / 1
LCM(1258,1269) = 1596402

Least Common Multiple (LCM) of 1258 and 1269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1258 and 1269. First we will calculate the prime factors of 1258 and 1269.

Prime Factorization of 1258

Prime factors of 1258 are 2, 17, 37. Prime factorization of 1258 in exponential form is:

1258 = 21 × 171 × 371

Prime Factorization of 1269

Prime factors of 1269 are 3, 47. Prime factorization of 1269 in exponential form is:

1269 = 33 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 1258 and 1269.

LCM(1258,1269) = 21 × 171 × 371 × 33 × 471
LCM(1258,1269) = 1596402