What is the Least Common Multiple of 53248 and 53262?

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 53248 and 53262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53248 and 53262, than apply into the LCM equation.

GCF(53248,53262) = 2
LCM(53248,53262) = ( 53248 × 53262) / 2
LCM(53248,53262) = 2836094976 / 2
LCM(53248,53262) = 1418047488

Least Common Multiple (LCM) of 53248 and 53262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53248 and 53262. First we will calculate the prime factors of 53248 and 53262.

Prime Factorization of 53248

Prime Factorization of 53262

Now multiplying the highest exponent prime factors to calculate the LCM of 53248 and 53262.

LCM(53248,53262) = 2¹² × 13¹ × 3² × 11¹ × 269¹
LCM(53248,53262) = 1418047488