What is the Least Common Multiple of 58256 and 58267?

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 58256 and 58267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58256 and 58267, than apply into the LCM equation.

GCF(58256,58267) = 11
LCM(58256,58267) = ( 58256 × 58267) / 11
LCM(58256,58267) = 3394402352 / 11
LCM(58256,58267) = 308582032

Least Common Multiple (LCM) of 58256 and 58267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58256 and 58267. First we will calculate the prime factors of 58256 and 58267.

Prime Factorization of 58256

Prime Factorization of 58267

Now multiplying the highest exponent prime factors to calculate the LCM of 58256 and 58267.

LCM(58256,58267) = 2⁴ × 11¹ × 331¹ × 5297¹
LCM(58256,58267) = 308582032