What is the Least Common Multiple of 82765 and 82770?

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 82765 and 82770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82765 and 82770, than apply into the LCM equation.

GCF(82765,82770) = 5
LCM(82765,82770) = ( 82765 × 82770) / 5
LCM(82765,82770) = 6850459050 / 5
LCM(82765,82770) = 1370091810

Least Common Multiple (LCM) of 82765 and 82770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82765 and 82770. First we will calculate the prime factors of 82765 and 82770.

Prime Factorization of 82765

Prime Factorization of 82770

Now multiplying the highest exponent prime factors to calculate the LCM of 82765 and 82770.

LCM(82765,82770) = 5¹ × 16553¹ × 2¹ × 3¹ × 31¹ × 89¹
LCM(82765,82770) = 1370091810