What is the Least Common Multiple of 74834 and 74838?

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 74834 and 74838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74834 and 74838, than apply into the LCM equation.

GCF(74834,74838) = 2
LCM(74834,74838) = ( 74834 × 74838) / 2
LCM(74834,74838) = 5600426892 / 2
LCM(74834,74838) = 2800213446

Least Common Multiple (LCM) of 74834 and 74838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74834 and 74838. First we will calculate the prime factors of 74834 and 74838.

Prime Factorization of 74834

Prime Factorization of 74838

Now multiplying the highest exponent prime factors to calculate the LCM of 74834 and 74838.

LCM(74834,74838) = 2¹ × 17¹ × 31¹ × 71¹ × 3¹ × 12473¹
LCM(74834,74838) = 2800213446