What is the Least Common Multiple of 52675 and 52680?

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 52675 and 52680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52675 and 52680, than apply into the LCM equation.

GCF(52675,52680) = 5
LCM(52675,52680) = ( 52675 × 52680) / 5
LCM(52675,52680) = 2774919000 / 5
LCM(52675,52680) = 554983800

Least Common Multiple (LCM) of 52675 and 52680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52675 and 52680. First we will calculate the prime factors of 52675 and 52680.

Prime Factorization of 52675

Prime Factorization of 52680

Now multiplying the highest exponent prime factors to calculate the LCM of 52675 and 52680.

LCM(52675,52680) = 5² × 7² × 43¹ × 2³ × 3¹ × 439¹
LCM(52675,52680) = 554983800