What is the Least Common Multiple of 52544 and 52562?

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 52544 and 52562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52544 and 52562, than apply into the LCM equation.

GCF(52544,52562) = 2
LCM(52544,52562) = ( 52544 × 52562) / 2
LCM(52544,52562) = 2761817728 / 2
LCM(52544,52562) = 1380908864

Least Common Multiple (LCM) of 52544 and 52562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52544 and 52562. First we will calculate the prime factors of 52544 and 52562.

Prime Factorization of 52544

Prime Factorization of 52562

Now multiplying the highest exponent prime factors to calculate the LCM of 52544 and 52562.

LCM(52544,52562) = 2⁶ × 821¹ × 41¹ × 641¹
LCM(52544,52562) = 1380908864