What is the Least Common Multiple of 1352 and 1356?

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 1352 and 1356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1352 and 1356, than apply into the LCM equation.

GCF(1352,1356) = 4
LCM(1352,1356) = ( 1352 × 1356) / 4
LCM(1352,1356) = 1833312 / 4
LCM(1352,1356) = 458328

Least Common Multiple (LCM) of 1352 and 1356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1352 and 1356. First we will calculate the prime factors of 1352 and 1356.

Prime Factorization of 1352

Prime Factorization of 1356

Now multiplying the highest exponent prime factors to calculate the LCM of 1352 and 1356.

LCM(1352,1356) = 2³ × 13² × 3¹ × 113¹
LCM(1352,1356) = 458328