What is the Least Common Multiple of 10720 and 10733?

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 10720 and 10733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10720 and 10733, than apply into the LCM equation.

GCF(10720,10733) = 1
LCM(10720,10733) = ( 10720 × 10733) / 1
LCM(10720,10733) = 115057760 / 1
LCM(10720,10733) = 115057760

Least Common Multiple (LCM) of 10720 and 10733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10720 and 10733. First we will calculate the prime factors of 10720 and 10733.

Prime Factorization of 10720

Prime Factorization of 10733

Now multiplying the highest exponent prime factors to calculate the LCM of 10720 and 10733.

LCM(10720,10733) = 2⁵ × 5¹ × 67¹ × 10733¹
LCM(10720,10733) = 115057760