What is the Least Common Multiple of 1309 and 1315?

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 1309 and 1315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1309 and 1315, than apply into the LCM equation.

GCF(1309,1315) = 1
LCM(1309,1315) = ( 1309 × 1315) / 1
LCM(1309,1315) = 1721335 / 1
LCM(1309,1315) = 1721335

Least Common Multiple (LCM) of 1309 and 1315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1309 and 1315. First we will calculate the prime factors of 1309 and 1315.

Prime Factorization of 1309

Prime Factorization of 1315

Now multiplying the highest exponent prime factors to calculate the LCM of 1309 and 1315.

LCM(1309,1315) = 7¹ × 11¹ × 17¹ × 5¹ × 263¹
LCM(1309,1315) = 1721335