What is the Least Common Multiple of 10720 and 10730?

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 10730 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 10730, than apply into the LCM equation.

GCF(10720,10730) = 10
LCM(10720,10730) = ( 10720 × 10730) / 10
LCM(10720,10730) = 115025600 / 10
LCM(10720,10730) = 11502560

Least Common Multiple (LCM) of 10720 and 10730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10720 and 10730. First we will calculate the prime factors of 10720 and 10730.

Prime Factorization of 10720

Prime Factorization of 10730

Now multiplying the highest exponent prime factors to calculate the LCM of 10720 and 10730.

LCM(10720,10730) = 2⁵ × 5¹ × 67¹ × 29¹ × 37¹
LCM(10720,10730) = 11502560