What is the Least Common Multiple of 82820 and 82838?

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 82820 and 82838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82820 and 82838, than apply into the LCM equation.

GCF(82820,82838) = 2
LCM(82820,82838) = ( 82820 × 82838) / 2
LCM(82820,82838) = 6860643160 / 2
LCM(82820,82838) = 3430321580

Least Common Multiple (LCM) of 82820 and 82838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82820 and 82838. First we will calculate the prime factors of 82820 and 82838.

Prime Factorization of 82820

Prime Factorization of 82838

Now multiplying the highest exponent prime factors to calculate the LCM of 82820 and 82838.

LCM(82820,82838) = 2² × 5¹ × 41¹ × 101¹ × 7¹ × 61¹ × 97¹
LCM(82820,82838) = 3430321580