What is the Least Common Multiple of 53252 and 53256?

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 53252 and 53256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53252 and 53256, than apply into the LCM equation.

GCF(53252,53256) = 4
LCM(53252,53256) = ( 53252 × 53256) / 4
LCM(53252,53256) = 2835988512 / 4
LCM(53252,53256) = 708997128

Least Common Multiple (LCM) of 53252 and 53256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53252 and 53256. First we will calculate the prime factors of 53252 and 53256.

Prime Factorization of 53252

Prime Factorization of 53256

Now multiplying the highest exponent prime factors to calculate the LCM of 53252 and 53256.

LCM(53252,53256) = 2³ × 13313¹ × 3¹ × 7¹ × 317¹
LCM(53252,53256) = 708997128