What is the Least Common Multiple of 1284 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 of 1284 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 1284 and 1292, than apply into the LCM equation.

GCF(1284,1292) = 4
LCM(1284,1292) = ( 1284 × 1292) / 4
LCM(1284,1292) = 1658928 / 4
LCM(1284,1292) = 414732

Least Common Multiple (LCM) of 1284 and 1292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1284 and 1292. First we will calculate the prime factors of 1284 and 1292.

Prime Factorization of 1284

Prime Factorization of 1292

Now multiplying the highest exponent prime factors to calculate the LCM of 1284 and 1292.

LCM(1284,1292) = 2² × 3¹ × 107¹ × 17¹ × 19¹
LCM(1284,1292) = 414732