What is the Least Common Multiple of 82516 and 82530?

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 82516 and 82530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82516 and 82530, than apply into the LCM equation.

GCF(82516,82530) = 14
LCM(82516,82530) = ( 82516 × 82530) / 14
LCM(82516,82530) = 6810045480 / 14
LCM(82516,82530) = 486431820

Least Common Multiple (LCM) of 82516 and 82530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82516 and 82530. First we will calculate the prime factors of 82516 and 82530.

Prime Factorization of 82516

Prime Factorization of 82530

Now multiplying the highest exponent prime factors to calculate the LCM of 82516 and 82530.

LCM(82516,82530) = 2² × 7² × 421¹ × 3² × 5¹ × 131¹
LCM(82516,82530) = 486431820