What is the Least Common Multiple of 10720 and 10735?

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 10735 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 10735, than apply into the LCM equation.

GCF(10720,10735) = 5
LCM(10720,10735) = ( 10720 × 10735) / 5
LCM(10720,10735) = 115079200 / 5
LCM(10720,10735) = 23015840

Least Common Multiple (LCM) of 10720 and 10735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10720 and 10735. First we will calculate the prime factors of 10720 and 10735.

Prime Factorization of 10720

Prime Factorization of 10735

Now multiplying the highest exponent prime factors to calculate the LCM of 10720 and 10735.

LCM(10720,10735) = 2⁵ × 5¹ × 67¹ × 19¹ × 113¹
LCM(10720,10735) = 23015840