What is the Least Common Multiple of 53523 and 53532?

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 53523 and 53532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53523 and 53532, than apply into the LCM equation.

GCF(53523,53532) = 9
LCM(53523,53532) = ( 53523 × 53532) / 9
LCM(53523,53532) = 2865193236 / 9
LCM(53523,53532) = 318354804

Least Common Multiple (LCM) of 53523 and 53532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53523 and 53532. First we will calculate the prime factors of 53523 and 53532.

Prime Factorization of 53523

Prime Factorization of 53532

Now multiplying the highest exponent prime factors to calculate the LCM of 53523 and 53532.

LCM(53523,53532) = 3² × 19¹ × 313¹ × 2² × 1487¹
LCM(53523,53532) = 318354804