What is the Least Common Multiple of 85820 and 85838?

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 85820 and 85838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85820 and 85838, than apply into the LCM equation.

GCF(85820,85838) = 2
LCM(85820,85838) = ( 85820 × 85838) / 2
LCM(85820,85838) = 7366617160 / 2
LCM(85820,85838) = 3683308580

Least Common Multiple (LCM) of 85820 and 85838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85820 and 85838. First we will calculate the prime factors of 85820 and 85838.

Prime Factorization of 85820

Prime Factorization of 85838

Now multiplying the highest exponent prime factors to calculate the LCM of 85820 and 85838.

LCM(85820,85838) = 2² × 5¹ × 7¹ × 613¹ × 167¹ × 257¹
LCM(85820,85838) = 3683308580