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What is the Least Common Multiple of 1258 and 1267?

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 1267 is 1593886.

LCM(1258,1267) = 1593886

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Least Common Multiple of 1258 and 1267 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 1267, than apply into the LCM equation.

GCF(1258,1267) = 1
LCM(1258,1267) = ( 1258 × 1267) / 1
LCM(1258,1267) = 1593886 / 1
LCM(1258,1267) = 1593886

Least Common Multiple (LCM) of 1258 and 1267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1258 and 1267. First we will calculate the prime factors of 1258 and 1267.

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 1267

Prime factors of 1267 are 7, 181. Prime factorization of 1267 in exponential form is:

1267 = 71 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 1258 and 1267.

LCM(1258,1267) = 21 × 171 × 371 × 71 × 1811
LCM(1258,1267) = 1593886