What is the Least Common Multiple of 54824 and 54838?

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 54824 and 54838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54824 and 54838, than apply into the LCM equation.

GCF(54824,54838) = 14
LCM(54824,54838) = ( 54824 × 54838) / 14
LCM(54824,54838) = 3006438512 / 14
LCM(54824,54838) = 214745608

Least Common Multiple (LCM) of 54824 and 54838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54824 and 54838. First we will calculate the prime factors of 54824 and 54838.

Prime Factorization of 54824

Prime Factorization of 54838

Now multiplying the highest exponent prime factors to calculate the LCM of 54824 and 54838.

LCM(54824,54838) = 2³ × 7¹ × 11¹ × 89¹ × 3917¹
LCM(54824,54838) = 214745608