What is the Least Common Multiple of 56720 and 56729?

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 56720 and 56729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56720 and 56729, than apply into the LCM equation.

GCF(56720,56729) = 1
LCM(56720,56729) = ( 56720 × 56729) / 1
LCM(56720,56729) = 3217668880 / 1
LCM(56720,56729) = 3217668880

Least Common Multiple (LCM) of 56720 and 56729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56720 and 56729. First we will calculate the prime factors of 56720 and 56729.

Prime Factorization of 56720

Prime Factorization of 56729

Now multiplying the highest exponent prime factors to calculate the LCM of 56720 and 56729.

LCM(56720,56729) = 2⁴ × 5¹ × 709¹ × 17¹ × 47¹ × 71¹
LCM(56720,56729) = 3217668880