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What is the Least Common Multiple of 1257 and 1262?

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 1257 and 1262 is 1586334.

LCM(1257,1262) = 1586334

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Least Common Multiple of 1257 and 1262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1257 and 1262, than apply into the LCM equation.

GCF(1257,1262) = 1
LCM(1257,1262) = ( 1257 × 1262) / 1
LCM(1257,1262) = 1586334 / 1
LCM(1257,1262) = 1586334

Least Common Multiple (LCM) of 1257 and 1262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1257 and 1262. First we will calculate the prime factors of 1257 and 1262.

Prime Factorization of 1257

Prime factors of 1257 are 3, 419. Prime factorization of 1257 in exponential form is:

1257 = 31 × 4191

Prime Factorization of 1262

Prime factors of 1262 are 2, 631. Prime factorization of 1262 in exponential form is:

1262 = 21 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 1257 and 1262.

LCM(1257,1262) = 31 × 4191 × 21 × 6311
LCM(1257,1262) = 1586334