What is the Least Common Multiple of 52838 and 52856?

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 52838 and 52856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52838 and 52856, than apply into the LCM equation.

GCF(52838,52856) = 2
LCM(52838,52856) = ( 52838 × 52856) / 2
LCM(52838,52856) = 2792805328 / 2
LCM(52838,52856) = 1396402664

Least Common Multiple (LCM) of 52838 and 52856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52838 and 52856. First we will calculate the prime factors of 52838 and 52856.

Prime Factorization of 52838

Prime Factorization of 52856

Now multiplying the highest exponent prime factors to calculate the LCM of 52838 and 52856.

LCM(52838,52856) = 2³ × 29¹ × 911¹ × 6607¹
LCM(52838,52856) = 1396402664