What is the Least Common Multiple of 74838 and 74846?

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 74838 and 74846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74838 and 74846, than apply into the LCM equation.

GCF(74838,74846) = 2
LCM(74838,74846) = ( 74838 × 74846) / 2
LCM(74838,74846) = 5601324948 / 2
LCM(74838,74846) = 2800662474

Least Common Multiple (LCM) of 74838 and 74846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74838 and 74846. First we will calculate the prime factors of 74838 and 74846.

Prime Factorization of 74838

Prime Factorization of 74846

Now multiplying the highest exponent prime factors to calculate the LCM of 74838 and 74846.

LCM(74838,74846) = 2¹ × 3¹ × 12473¹ × 37423¹
LCM(74838,74846) = 2800662474