What is the Least Common Multiple of 53235 and 53248?

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 53235 and 53248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53235 and 53248, than apply into the LCM equation.

GCF(53235,53248) = 13
LCM(53235,53248) = ( 53235 × 53248) / 13
LCM(53235,53248) = 2834657280 / 13
LCM(53235,53248) = 218050560

Least Common Multiple (LCM) of 53235 and 53248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53235 and 53248. First we will calculate the prime factors of 53235 and 53248.

Prime Factorization of 53235

Prime Factorization of 53248

Now multiplying the highest exponent prime factors to calculate the LCM of 53235 and 53248.

LCM(53235,53248) = 3² × 5¹ × 7¹ × 13² × 2¹²
LCM(53235,53248) = 218050560