What is the Least Common Multiple of 82152 and 82161?

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 82152 and 82161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82152 and 82161, than apply into the LCM equation.

GCF(82152,82161) = 9
LCM(82152,82161) = ( 82152 × 82161) / 9
LCM(82152,82161) = 6749690472 / 9
LCM(82152,82161) = 749965608

Least Common Multiple (LCM) of 82152 and 82161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82152 and 82161. First we will calculate the prime factors of 82152 and 82161.

Prime Factorization of 82152

Prime Factorization of 82161

Now multiplying the highest exponent prime factors to calculate the LCM of 82152 and 82161.

LCM(82152,82161) = 2³ × 3³ × 7¹ × 163¹ × 17¹ × 179¹
LCM(82152,82161) = 749965608