What is the Least Common Multiple of 48510 and 48515?

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 48510 and 48515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48510 and 48515, than apply into the LCM equation.

GCF(48510,48515) = 5
LCM(48510,48515) = ( 48510 × 48515) / 5
LCM(48510,48515) = 2353462650 / 5
LCM(48510,48515) = 470692530

Least Common Multiple (LCM) of 48510 and 48515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48510 and 48515. First we will calculate the prime factors of 48510 and 48515.

Prime Factorization of 48510

Prime Factorization of 48515

Now multiplying the highest exponent prime factors to calculate the LCM of 48510 and 48515.

LCM(48510,48515) = 2¹ × 3² × 5¹ × 7² × 11¹ × 31¹ × 313¹
LCM(48510,48515) = 470692530