What is the Least Common Multiple of 1723 and 1730?

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 1723 and 1730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1723 and 1730, than apply into the LCM equation.

GCF(1723,1730) = 1
LCM(1723,1730) = ( 1723 × 1730) / 1
LCM(1723,1730) = 2980790 / 1
LCM(1723,1730) = 2980790

Least Common Multiple (LCM) of 1723 and 1730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1723 and 1730. First we will calculate the prime factors of 1723 and 1730.

Prime Factorization of 1723

Prime Factorization of 1730

Now multiplying the highest exponent prime factors to calculate the LCM of 1723 and 1730.

LCM(1723,1730) = 1723¹ × 2¹ × 5¹ × 173¹
LCM(1723,1730) = 2980790