What is the Least Common Multiple of 48504 and 48510?

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 48504 and 48510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48504 and 48510, than apply into the LCM equation.

GCF(48504,48510) = 6
LCM(48504,48510) = ( 48504 × 48510) / 6
LCM(48504,48510) = 2352929040 / 6
LCM(48504,48510) = 392154840

Least Common Multiple (LCM) of 48504 and 48510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48504 and 48510. First we will calculate the prime factors of 48504 and 48510.

Prime Factorization of 48504

Prime Factorization of 48510

Now multiplying the highest exponent prime factors to calculate the LCM of 48504 and 48510.

LCM(48504,48510) = 2³ × 3² × 43¹ × 47¹ × 5¹ × 7² × 11¹
LCM(48504,48510) = 392154840