GCF and LCM Calculator Logo

What is the Least Common Multiple of 1279 and 1292?

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 1279 and 1292 is 1652468.

LCM(1279,1292) = 1652468

LCM Calculator and
and

Least Common Multiple of 1279 and 1292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1279 and 1292, than apply into the LCM equation.

GCF(1279,1292) = 1
LCM(1279,1292) = ( 1279 × 1292) / 1
LCM(1279,1292) = 1652468 / 1
LCM(1279,1292) = 1652468

Least Common Multiple (LCM) of 1279 and 1292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1279 and 1292. First we will calculate the prime factors of 1279 and 1292.

Prime Factorization of 1279

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

1279 = 12791

Prime Factorization of 1292

Prime factors of 1292 are 2, 17, 19. Prime factorization of 1292 in exponential form is:

1292 = 22 × 171 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 1279 and 1292.

LCM(1279,1292) = 12791 × 22 × 171 × 191
LCM(1279,1292) = 1652468