What is the Least Common Multiple of 20655 and 20672?

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 20655 and 20672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20655 and 20672, than apply into the LCM equation.

GCF(20655,20672) = 17
LCM(20655,20672) = ( 20655 × 20672) / 17
LCM(20655,20672) = 426980160 / 17
LCM(20655,20672) = 25116480

Least Common Multiple (LCM) of 20655 and 20672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20655 and 20672. First we will calculate the prime factors of 20655 and 20672.

Prime Factorization of 20655

Prime Factorization of 20672

Now multiplying the highest exponent prime factors to calculate the LCM of 20655 and 20672.

LCM(20655,20672) = 3⁵ × 5¹ × 17¹ × 2⁶ × 19¹
LCM(20655,20672) = 25116480