What is the Least Common Multiple of 50256 and 50265?

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 50256 and 50265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50256 and 50265, than apply into the LCM equation.

GCF(50256,50265) = 9
LCM(50256,50265) = ( 50256 × 50265) / 9
LCM(50256,50265) = 2526117840 / 9
LCM(50256,50265) = 280679760

Least Common Multiple (LCM) of 50256 and 50265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50256 and 50265. First we will calculate the prime factors of 50256 and 50265.

Prime Factorization of 50256

Prime Factorization of 50265

Now multiplying the highest exponent prime factors to calculate the LCM of 50256 and 50265.

LCM(50256,50265) = 2⁴ × 3² × 349¹ × 5¹ × 1117¹
LCM(50256,50265) = 280679760