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What is the Least Common Multiple of 1268 and 1273?

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 1268 and 1273 is 1614164.

LCM(1268,1273) = 1614164

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Least Common Multiple of 1268 and 1273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1268 and 1273, than apply into the LCM equation.

GCF(1268,1273) = 1
LCM(1268,1273) = ( 1268 × 1273) / 1
LCM(1268,1273) = 1614164 / 1
LCM(1268,1273) = 1614164

Least Common Multiple (LCM) of 1268 and 1273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1268 and 1273. First we will calculate the prime factors of 1268 and 1273.

Prime Factorization of 1268

Prime factors of 1268 are 2, 317. Prime factorization of 1268 in exponential form is:

1268 = 22 × 3171

Prime Factorization of 1273

Prime factors of 1273 are 19, 67. Prime factorization of 1273 in exponential form is:

1273 = 191 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 1268 and 1273.

LCM(1268,1273) = 22 × 3171 × 191 × 671
LCM(1268,1273) = 1614164