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What is the Least Common Multiple of 1264 and 1276?

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 1264 and 1276 is 403216.

LCM(1264,1276) = 403216

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Least Common Multiple of 1264 and 1276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1264 and 1276, than apply into the LCM equation.

GCF(1264,1276) = 4
LCM(1264,1276) = ( 1264 × 1276) / 4
LCM(1264,1276) = 1612864 / 4
LCM(1264,1276) = 403216

Least Common Multiple (LCM) of 1264 and 1276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1264 and 1276. First we will calculate the prime factors of 1264 and 1276.

Prime Factorization of 1264

Prime factors of 1264 are 2, 79. Prime factorization of 1264 in exponential form is:

1264 = 24 × 791

Prime Factorization of 1276

Prime factors of 1276 are 2, 11, 29. Prime factorization of 1276 in exponential form is:

1276 = 22 × 111 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 1264 and 1276.

LCM(1264,1276) = 24 × 791 × 111 × 291
LCM(1264,1276) = 403216