What is the Least Common Multiple of 69834 and 69838?

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 69834 and 69838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69834 and 69838, than apply into the LCM equation.

GCF(69834,69838) = 2
LCM(69834,69838) = ( 69834 × 69838) / 2
LCM(69834,69838) = 4877066892 / 2
LCM(69834,69838) = 2438533446

Least Common Multiple (LCM) of 69834 and 69838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69834 and 69838. First we will calculate the prime factors of 69834 and 69838.

Prime Factorization of 69834

Prime Factorization of 69838

Now multiplying the highest exponent prime factors to calculate the LCM of 69834 and 69838.

LCM(69834,69838) = 2¹ × 3¹ × 103¹ × 113¹ × 34919¹
LCM(69834,69838) = 2438533446