What is the Least Common Multiple of 82145 and 82152?

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 82145 and 82152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82145 and 82152, than apply into the LCM equation.

GCF(82145,82152) = 7
LCM(82145,82152) = ( 82145 × 82152) / 7
LCM(82145,82152) = 6748376040 / 7
LCM(82145,82152) = 964053720

Least Common Multiple (LCM) of 82145 and 82152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82145 and 82152. First we will calculate the prime factors of 82145 and 82152.

Prime Factorization of 82145

Prime Factorization of 82152

Now multiplying the highest exponent prime factors to calculate the LCM of 82145 and 82152.

LCM(82145,82152) = 5¹ × 7¹ × 2347¹ × 2³ × 3² × 163¹
LCM(82145,82152) = 964053720