What is the Least Common Multiple of 82516 and 82532?

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 82532 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 82532, than apply into the LCM equation.

GCF(82516,82532) = 4
LCM(82516,82532) = ( 82516 × 82532) / 4
LCM(82516,82532) = 6810210512 / 4
LCM(82516,82532) = 1702552628

Least Common Multiple (LCM) of 82516 and 82532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82516 and 82532. First we will calculate the prime factors of 82516 and 82532.

Prime Factorization of 82516

Prime Factorization of 82532

Now multiplying the highest exponent prime factors to calculate the LCM of 82516 and 82532.

LCM(82516,82532) = 2² × 7² × 421¹ × 47¹ × 439¹
LCM(82516,82532) = 1702552628