What is the Least Common Multiple of 1335 and 1347?

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 1335 and 1347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1335 and 1347, than apply into the LCM equation.

GCF(1335,1347) = 3
LCM(1335,1347) = ( 1335 × 1347) / 3
LCM(1335,1347) = 1798245 / 3
LCM(1335,1347) = 599415

Least Common Multiple (LCM) of 1335 and 1347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1335 and 1347. First we will calculate the prime factors of 1335 and 1347.

Prime Factorization of 1335

Prime Factorization of 1347

Now multiplying the highest exponent prime factors to calculate the LCM of 1335 and 1347.

LCM(1335,1347) = 3¹ × 5¹ × 89¹ × 449¹
LCM(1335,1347) = 599415