What is the Least Common Multiple of 1350 and 1362?

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 1350 and 1362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1350 and 1362, than apply into the LCM equation.

GCF(1350,1362) = 6
LCM(1350,1362) = ( 1350 × 1362) / 6
LCM(1350,1362) = 1838700 / 6
LCM(1350,1362) = 306450

Least Common Multiple (LCM) of 1350 and 1362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1350 and 1362. First we will calculate the prime factors of 1350 and 1362.

Prime Factorization of 1350

Prime Factorization of 1362

Now multiplying the highest exponent prime factors to calculate the LCM of 1350 and 1362.

LCM(1350,1362) = 2¹ × 3³ × 5² × 227¹
LCM(1350,1362) = 306450