What is the Least Common Multiple of 53244 and 53253?

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 53244 and 53253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53244 and 53253, than apply into the LCM equation.

GCF(53244,53253) = 9
LCM(53244,53253) = ( 53244 × 53253) / 9
LCM(53244,53253) = 2835402732 / 9
LCM(53244,53253) = 315044748

Least Common Multiple (LCM) of 53244 and 53253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53244 and 53253. First we will calculate the prime factors of 53244 and 53253.

Prime Factorization of 53244

Prime Factorization of 53253

Now multiplying the highest exponent prime factors to calculate the LCM of 53244 and 53253.

LCM(53244,53253) = 2² × 3³ × 17¹ × 29¹ × 61¹ × 97¹
LCM(53244,53253) = 315044748