What is the Least Common Multiple of 82078 and 82089?

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 82078 and 82089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82078 and 82089, than apply into the LCM equation.

GCF(82078,82089) = 1
LCM(82078,82089) = ( 82078 × 82089) / 1
LCM(82078,82089) = 6737700942 / 1
LCM(82078,82089) = 6737700942

Least Common Multiple (LCM) of 82078 and 82089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82078 and 82089. First we will calculate the prime factors of 82078 and 82089.

Prime Factorization of 82078

Prime Factorization of 82089

Now multiplying the highest exponent prime factors to calculate the LCM of 82078 and 82089.

LCM(82078,82089) = 2¹ × 41039¹ × 3² × 7¹ × 1303¹
LCM(82078,82089) = 6737700942