What is the Least Common Multiple of 20256 and 20265?

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 20256 and 20265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20256 and 20265, than apply into the LCM equation.

GCF(20256,20265) = 3
LCM(20256,20265) = ( 20256 × 20265) / 3
LCM(20256,20265) = 410487840 / 3
LCM(20256,20265) = 136829280

Least Common Multiple (LCM) of 20256 and 20265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20256 and 20265. First we will calculate the prime factors of 20256 and 20265.

Prime Factorization of 20256

Prime Factorization of 20265

Now multiplying the highest exponent prime factors to calculate the LCM of 20256 and 20265.

LCM(20256,20265) = 2⁵ × 3¹ × 211¹ × 5¹ × 7¹ × 193¹
LCM(20256,20265) = 136829280