What is the Least Common Multiple of 52578 and 52590?

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 52578 and 52590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52578 and 52590, than apply into the LCM equation.

GCF(52578,52590) = 6
LCM(52578,52590) = ( 52578 × 52590) / 6
LCM(52578,52590) = 2765077020 / 6
LCM(52578,52590) = 460846170

Least Common Multiple (LCM) of 52578 and 52590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52578 and 52590. First we will calculate the prime factors of 52578 and 52590.

Prime Factorization of 52578

Prime Factorization of 52590

Now multiplying the highest exponent prime factors to calculate the LCM of 52578 and 52590.

LCM(52578,52590) = 2¹ × 3² × 23¹ × 127¹ × 5¹ × 1753¹
LCM(52578,52590) = 460846170