What is the Least Common Multiple of 38850 and 38856?

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 38850 and 38856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38850 and 38856, than apply into the LCM equation.

GCF(38850,38856) = 6
LCM(38850,38856) = ( 38850 × 38856) / 6
LCM(38850,38856) = 1509555600 / 6
LCM(38850,38856) = 251592600

Least Common Multiple (LCM) of 38850 and 38856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38850 and 38856. First we will calculate the prime factors of 38850 and 38856.

Prime Factorization of 38850

Prime Factorization of 38856

Now multiplying the highest exponent prime factors to calculate the LCM of 38850 and 38856.

LCM(38850,38856) = 2³ × 3¹ × 5² × 7¹ × 37¹ × 1619¹
LCM(38850,38856) = 251592600