What is the Least Common Multiple of 20672 and 20690?

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 20672 and 20690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20672 and 20690, than apply into the LCM equation.

GCF(20672,20690) = 2
LCM(20672,20690) = ( 20672 × 20690) / 2
LCM(20672,20690) = 427703680 / 2
LCM(20672,20690) = 213851840

Least Common Multiple (LCM) of 20672 and 20690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20672 and 20690. First we will calculate the prime factors of 20672 and 20690.

Prime Factorization of 20672

Prime Factorization of 20690

Now multiplying the highest exponent prime factors to calculate the LCM of 20672 and 20690.

LCM(20672,20690) = 2⁶ × 17¹ × 19¹ × 5¹ × 2069¹
LCM(20672,20690) = 213851840