What is the Least Common Multiple of 27248 and 27262?

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 27248 and 27262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27248 and 27262, than apply into the LCM equation.

GCF(27248,27262) = 2
LCM(27248,27262) = ( 27248 × 27262) / 2
LCM(27248,27262) = 742834976 / 2
LCM(27248,27262) = 371417488

Least Common Multiple (LCM) of 27248 and 27262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27248 and 27262. First we will calculate the prime factors of 27248 and 27262.

Prime Factorization of 27248

Prime Factorization of 27262

Now multiplying the highest exponent prime factors to calculate the LCM of 27248 and 27262.

LCM(27248,27262) = 2⁴ × 13¹ × 131¹ × 43¹ × 317¹
LCM(27248,27262) = 371417488