What is the Least Common Multiple of 1360 and 1375?

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 1360 and 1375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1360 and 1375, than apply into the LCM equation.

GCF(1360,1375) = 5
LCM(1360,1375) = ( 1360 × 1375) / 5
LCM(1360,1375) = 1870000 / 5
LCM(1360,1375) = 374000

Least Common Multiple (LCM) of 1360 and 1375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1360 and 1375. First we will calculate the prime factors of 1360 and 1375.

Prime Factorization of 1360

Prime Factorization of 1375

Now multiplying the highest exponent prime factors to calculate the LCM of 1360 and 1375.

LCM(1360,1375) = 2⁴ × 5³ × 17¹ × 11¹
LCM(1360,1375) = 374000