What is the Least Common Multiple of 32838 and 32856?

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 32838 and 32856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32838 and 32856, than apply into the LCM equation.

GCF(32838,32856) = 6
LCM(32838,32856) = ( 32838 × 32856) / 6
LCM(32838,32856) = 1078925328 / 6
LCM(32838,32856) = 179820888

Least Common Multiple (LCM) of 32838 and 32856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32838 and 32856. First we will calculate the prime factors of 32838 and 32856.

Prime Factorization of 32838

Prime Factorization of 32856

Now multiplying the highest exponent prime factors to calculate the LCM of 32838 and 32856.

LCM(32838,32856) = 2³ × 3¹ × 13¹ × 421¹ × 37²
LCM(32838,32856) = 179820888