What is the Least Common Multiple of 1720 and 1733?

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 1720 and 1733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1720 and 1733, than apply into the LCM equation.

GCF(1720,1733) = 1
LCM(1720,1733) = ( 1720 × 1733) / 1
LCM(1720,1733) = 2980760 / 1
LCM(1720,1733) = 2980760

Least Common Multiple (LCM) of 1720 and 1733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1720 and 1733. First we will calculate the prime factors of 1720 and 1733.

Prime Factorization of 1720

Prime Factorization of 1733

Now multiplying the highest exponent prime factors to calculate the LCM of 1720 and 1733.

LCM(1720,1733) = 2³ × 5¹ × 43¹ × 1733¹
LCM(1720,1733) = 2980760