What is the Least Common Multiple of 20720 and 20734?

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 20720 and 20734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20720 and 20734, than apply into the LCM equation.

GCF(20720,20734) = 14
LCM(20720,20734) = ( 20720 × 20734) / 14
LCM(20720,20734) = 429608480 / 14
LCM(20720,20734) = 30686320

Least Common Multiple (LCM) of 20720 and 20734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20720 and 20734. First we will calculate the prime factors of 20720 and 20734.

Prime Factorization of 20720

Prime Factorization of 20734

Now multiplying the highest exponent prime factors to calculate the LCM of 20720 and 20734.

LCM(20720,20734) = 2⁴ × 5¹ × 7¹ × 37¹ × 1481¹
LCM(20720,20734) = 30686320