What is the Least Common Multiple of 52544 and 52551?

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 52551 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 52551, than apply into the LCM equation.

GCF(52544,52551) = 1
LCM(52544,52551) = ( 52544 × 52551) / 1
LCM(52544,52551) = 2761239744 / 1
LCM(52544,52551) = 2761239744

Least Common Multiple (LCM) of 52544 and 52551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52544 and 52551. First we will calculate the prime factors of 52544 and 52551.

Prime Factorization of 52544

Prime Factorization of 52551

Now multiplying the highest exponent prime factors to calculate the LCM of 52544 and 52551.

LCM(52544,52551) = 2⁶ × 821¹ × 3² × 5839¹
LCM(52544,52551) = 2761239744