What is the Least Common Multiple of 82770 and 82788?

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 82770 and 82788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82770 and 82788, than apply into the LCM equation.

GCF(82770,82788) = 6
LCM(82770,82788) = ( 82770 × 82788) / 6
LCM(82770,82788) = 6852362760 / 6
LCM(82770,82788) = 1142060460

Least Common Multiple (LCM) of 82770 and 82788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82770 and 82788. First we will calculate the prime factors of 82770 and 82788.

Prime Factorization of 82770

Prime Factorization of 82788

Now multiplying the highest exponent prime factors to calculate the LCM of 82770 and 82788.

LCM(82770,82788) = 2² × 3¹ × 5¹ × 31¹ × 89¹ × 6899¹
LCM(82770,82788) = 1142060460