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What is the Least Common Multiple of 1266 and 1279?

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 1266 and 1279 is 1619214.

LCM(1266,1279) = 1619214

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Least Common Multiple of 1266 and 1279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1266 and 1279, than apply into the LCM equation.

GCF(1266,1279) = 1
LCM(1266,1279) = ( 1266 × 1279) / 1
LCM(1266,1279) = 1619214 / 1
LCM(1266,1279) = 1619214

Least Common Multiple (LCM) of 1266 and 1279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1266 and 1279. First we will calculate the prime factors of 1266 and 1279.

Prime Factorization of 1266

Prime factors of 1266 are 2, 3, 211. Prime factorization of 1266 in exponential form is:

1266 = 21 × 31 × 2111

Prime Factorization of 1279

Prime factors of 1279 are 1279. Prime factorization of 1279 in exponential form is:

1279 = 12791

Now multiplying the highest exponent prime factors to calculate the LCM of 1266 and 1279.

LCM(1266,1279) = 21 × 31 × 2111 × 12791
LCM(1266,1279) = 1619214