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What is the Least Common Multiple of 1269 and 1277?

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 1269 and 1277 is 1620513.

LCM(1269,1277) = 1620513

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Least Common Multiple of 1269 and 1277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1269 and 1277, than apply into the LCM equation.

GCF(1269,1277) = 1
LCM(1269,1277) = ( 1269 × 1277) / 1
LCM(1269,1277) = 1620513 / 1
LCM(1269,1277) = 1620513

Least Common Multiple (LCM) of 1269 and 1277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1269 and 1277. First we will calculate the prime factors of 1269 and 1277.

Prime Factorization of 1269

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

1269 = 33 × 471

Prime Factorization of 1277

Prime factors of 1277 are 1277. Prime factorization of 1277 in exponential form is:

1277 = 12771

Now multiplying the highest exponent prime factors to calculate the LCM of 1269 and 1277.

LCM(1269,1277) = 33 × 471 × 12771
LCM(1269,1277) = 1620513