What is the Least Common Multiple of 36838 and 36856?

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 36838 and 36856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36838 and 36856, than apply into the LCM equation.

GCF(36838,36856) = 2
LCM(36838,36856) = ( 36838 × 36856) / 2
LCM(36838,36856) = 1357701328 / 2
LCM(36838,36856) = 678850664

Least Common Multiple (LCM) of 36838 and 36856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36838 and 36856. First we will calculate the prime factors of 36838 and 36856.

Prime Factorization of 36838

Prime Factorization of 36856

Now multiplying the highest exponent prime factors to calculate the LCM of 36838 and 36856.

LCM(36838,36856) = 2³ × 113¹ × 163¹ × 17¹ × 271¹
LCM(36838,36856) = 678850664