What is the Least Common Multiple of 1340 and 1354?

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 1340 and 1354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1340 and 1354, than apply into the LCM equation.

GCF(1340,1354) = 2
LCM(1340,1354) = ( 1340 × 1354) / 2
LCM(1340,1354) = 1814360 / 2
LCM(1340,1354) = 907180

Least Common Multiple (LCM) of 1340 and 1354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1340 and 1354. First we will calculate the prime factors of 1340 and 1354.

Prime Factorization of 1340

Prime Factorization of 1354

Now multiplying the highest exponent prime factors to calculate the LCM of 1340 and 1354.

LCM(1340,1354) = 2² × 5¹ × 67¹ × 677¹
LCM(1340,1354) = 907180