What is the Least Common Multiple of 20720 and 20738?

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 20738 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 20738, than apply into the LCM equation.

GCF(20720,20738) = 2
LCM(20720,20738) = ( 20720 × 20738) / 2
LCM(20720,20738) = 429691360 / 2
LCM(20720,20738) = 214845680

Least Common Multiple (LCM) of 20720 and 20738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20720 and 20738. First we will calculate the prime factors of 20720 and 20738.

Prime Factorization of 20720

Prime Factorization of 20738

Now multiplying the highest exponent prime factors to calculate the LCM of 20720 and 20738.

LCM(20720,20738) = 2⁴ × 5¹ × 7¹ × 37¹ × 10369¹
LCM(20720,20738) = 214845680