What is the Least Common Multiple of 55254 and 55262?

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 55254 and 55262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55254 and 55262, than apply into the LCM equation.

GCF(55254,55262) = 2
LCM(55254,55262) = ( 55254 × 55262) / 2
LCM(55254,55262) = 3053446548 / 2
LCM(55254,55262) = 1526723274

Least Common Multiple (LCM) of 55254 and 55262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55254 and 55262. First we will calculate the prime factors of 55254 and 55262.

Prime Factorization of 55254

Prime Factorization of 55262

Now multiplying the highest exponent prime factors to calculate the LCM of 55254 and 55262.

LCM(55254,55262) = 2¹ × 3¹ × 9209¹ × 27631¹
LCM(55254,55262) = 1526723274