What is the Least Common Multiple of 1704 and 1720?

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 1704 and 1720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1704 and 1720, than apply into the LCM equation.

GCF(1704,1720) = 8
LCM(1704,1720) = ( 1704 × 1720) / 8
LCM(1704,1720) = 2930880 / 8
LCM(1704,1720) = 366360

Least Common Multiple (LCM) of 1704 and 1720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1704 and 1720. First we will calculate the prime factors of 1704 and 1720.

Prime Factorization of 1704

Prime Factorization of 1720

Now multiplying the highest exponent prime factors to calculate the LCM of 1704 and 1720.

LCM(1704,1720) = 2³ × 3¹ × 71¹ × 5¹ × 43¹
LCM(1704,1720) = 366360