What is the Least Common Multiple of 52576 and 52584?

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 52576 and 52584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52576 and 52584, than apply into the LCM equation.

GCF(52576,52584) = 8
LCM(52576,52584) = ( 52576 × 52584) / 8
LCM(52576,52584) = 2764656384 / 8
LCM(52576,52584) = 345582048

Least Common Multiple (LCM) of 52576 and 52584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52576 and 52584. First we will calculate the prime factors of 52576 and 52584.

Prime Factorization of 52576

Prime Factorization of 52584

Now multiplying the highest exponent prime factors to calculate the LCM of 52576 and 52584.

LCM(52576,52584) = 2⁵ × 31¹ × 53¹ × 3¹ × 7¹ × 313¹
LCM(52576,52584) = 345582048