What is the Least Common Multiple of 53550 and 53564?

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 53550 and 53564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53550 and 53564, than apply into the LCM equation.

GCF(53550,53564) = 14
LCM(53550,53564) = ( 53550 × 53564) / 14
LCM(53550,53564) = 2868352200 / 14
LCM(53550,53564) = 204882300

Least Common Multiple (LCM) of 53550 and 53564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53550 and 53564. First we will calculate the prime factors of 53550 and 53564.

Prime Factorization of 53550

Prime Factorization of 53564

Now multiplying the highest exponent prime factors to calculate the LCM of 53550 and 53564.

LCM(53550,53564) = 2² × 3² × 5² × 7¹ × 17¹ × 1913¹
LCM(53550,53564) = 204882300