What is the Least Common Multiple of 20288 and 20307?

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 20288 and 20307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20288 and 20307, than apply into the LCM equation.

GCF(20288,20307) = 1
LCM(20288,20307) = ( 20288 × 20307) / 1
LCM(20288,20307) = 411988416 / 1
LCM(20288,20307) = 411988416

Least Common Multiple (LCM) of 20288 and 20307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20288 and 20307. First we will calculate the prime factors of 20288 and 20307.

Prime Factorization of 20288

Prime Factorization of 20307

Now multiplying the highest exponent prime factors to calculate the LCM of 20288 and 20307.

LCM(20288,20307) = 2⁶ × 317¹ × 3¹ × 7¹ × 967¹
LCM(20288,20307) = 411988416