GCF and LCM Calculator Logo

What is the Least Common Multiple of 65821 and 65838?

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 (LCM) of 65821 and 65838 is 4333522998.

LCM(65821,65838) = 4333522998

LCM Calculator and
and

Least Common Multiple of 65821 and 65838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65821 and 65838, than apply into the LCM equation.

GCF(65821,65838) = 1
LCM(65821,65838) = ( 65821 × 65838) / 1
LCM(65821,65838) = 4333522998 / 1
LCM(65821,65838) = 4333522998

Least Common Multiple (LCM) of 65821 and 65838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65821 and 65838. First we will calculate the prime factors of 65821 and 65838.

Prime Factorization of 65821

Prime factors of 65821 are 7, 9403. Prime factorization of 65821 in exponential form is:

65821 = 71 × 94031

Prime Factorization of 65838

Prime factors of 65838 are 2, 3, 10973. Prime factorization of 65838 in exponential form is:

65838 = 21 × 31 × 109731

Now multiplying the highest exponent prime factors to calculate the LCM of 65821 and 65838.

LCM(65821,65838) = 71 × 94031 × 21 × 31 × 109731
LCM(65821,65838) = 4333522998